Heterotic instanton superpotentials from complete intersection Calabi-Yau manifolds

Buchbinder, Evgeny; Lukas, Andre; Ovrut, Burt; Ruehle, Fabian

doi:10.1007/jhep10(2017)032

Title: Heterotic instanton superpotentials from complete intersection Calabi-Yau manifolds

Abstract

We study Pfaffians that appear in non-perturbative superpotential terms arising from worldsheet instantons in heterotic theories. A result by Beasley and Witten shows that these instanton contributions cancel among curves within a given homology class for Calabi-Yau manifolds that can be described as hypersurfaces or complete intersections in projective or toric ambient spaces. We provide a prescription that identifies all $$\mathbb{P}$$¹ curves in certain homology classes of complete intersection Calabi-Yau manifolds in products of projective spaces (CICYs) and cross-check our results by a comparison with the genus zero Gromov-Witten invariants. We then use this construction to study instanton superpotentials on those manifolds and their quotients. We identify a non-toric quotient of a non-favorable CICY with a single genus zero curve in a certain homology class, so that a cancellation à la Beasley-Witten is not possible. In another example, we study a non-toric quotient of a favorable CICY and check that the superpotential still vanishes. From this and related examples, we conjecture that the Beasley-Witten cancellation result can be extended to toric and non-toric quotients of CICYs, but can be avoided if the CICY is non-favorable.

Authors:

Buchbinder, Evgeny ^[1]; Lukas, Andre ^[2]; Ovrut, Burt ^[3]; Ruehle, Fabian ^[2]

Univ. of Western Australia, Crawley, WA (Australia). School of Physics and Astronomy
Univ. of Oxford (United Kingdom). Rudolf Peierls Centre for Theoretical Physics
Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy

Publication Date:: Wed Oct 04 00:00:00 EDT 2017

Research Org.:: Univ. of Pennsylvania, Philadelphia, PA (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1505205

Grant/Contract Number:: SC0007901

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 10; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Flux compacti fications; Superstring Vacua; Superstrings and Heterotic Strings

Citation Formats


                    Buchbinder, Evgeny, Lukas, Andre, Ovrut, Burt, and Ruehle, Fabian. Heterotic instanton superpotentials from complete intersection Calabi-Yau manifolds.  United States: N. p., 2017. 
Web.  doi:10.1007/jhep10(2017)032.

Copy to clipboard


                    Buchbinder, Evgeny, Lukas, Andre, Ovrut, Burt, & Ruehle, Fabian. Heterotic instanton superpotentials from complete intersection Calabi-Yau manifolds.  United States.  https://doi.org/10.1007/jhep10(2017)032

Copy to clipboard


                    Buchbinder, Evgeny, Lukas, Andre, Ovrut, Burt, and Ruehle, Fabian. Wed .  
"Heterotic instanton superpotentials from complete intersection Calabi-Yau manifolds".  United States.  https://doi.org/10.1007/jhep10(2017)032.  https://www.osti.gov/servlets/purl/1505205.

Copy to clipboard


                    
@article{osti_1505205,

  title        = {Heterotic instanton superpotentials from complete intersection Calabi-Yau manifolds},

  author       = {Buchbinder, Evgeny and Lukas, Andre and Ovrut, Burt and Ruehle, Fabian},

  abstractNote = {We study Pfaffians that appear in non-perturbative superpotential terms arising from worldsheet instantons in heterotic theories. A result by Beasley and Witten shows that these instanton contributions cancel among curves within a given homology class for Calabi-Yau manifolds that can be described as hypersurfaces or complete intersections in projective or toric ambient spaces. We provide a prescription that identifies all $\mathbb{P}$1 curves in certain homology classes of complete intersection Calabi-Yau manifolds in products of projective spaces (CICYs) and cross-check our results by a comparison with the genus zero Gromov-Witten invariants. We then use this construction to study instanton superpotentials on those manifolds and their quotients. We identify a non-toric quotient of a non-favorable CICY with a single genus zero curve in a certain homology class, so that a cancellation à la Beasley-Witten is not possible. In another example, we study a non-toric quotient of a favorable CICY and check that the superpotential still vanishes. From this and related examples, we conjecture that the Beasley-Witten cancellation result can be extended to toric and non-toric quotients of CICYs, but can be avoided if the CICY is non-favorable.},

  doi          = {10.1007/jhep10(2017)032},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 10,

  volume       = 2017,

  place        = {United States},

  year         = {Wed Oct 04 00:00:00 EDT 2017},

  month        = {Wed Oct 04 00:00:00 EDT 2017}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1007/jhep10(2017)032

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 7 works

Citation information provided by
Web of Science

Figures / Tables:

Figure 1: Schematic depiction of the different types of free quotient actions (i) to (iv). Blue dots represent the $\mathbb{P}^1$ direction associated to the genus zero curves. The rst two columns of each diagram indicate the action of the symmetry. The last column represents the resulting con guration in themore »

All figures and tables (3 total)

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Nonperturbative superpotentials from membrane instantons in heterotic M-theory
journal, October 2001

Lima, Eduardo; Ovrut, Burt; Park, Jaemo
Nuclear Physics B, Vol. 614, Issue 1-2
DOI: 10.1016/S0550-3213(01)00404-7

Stability walls in heterotic theories
journal, September 2009

Anderson, Lara B.; Gray, James; Lukas, Andre
Journal of High Energy Physics, Vol. 2009, Issue 09
DOI: 10.1088/1126-6708/2009/09/026

Worldsheet instantons, torsion curves and non-perturbative superpotentials
journal, June 2007

Braun, Volker; Kreuzer, Maximilian; Ovrut, Burt A.
Physics Letters B, Vol. 649, Issue 4
DOI: 10.1016/j.physletb.2007.03.066

World-sheet corrections via D-instantons
journal, February 2000

Witten, Edward
Journal of High Energy Physics, Vol. 2000, Issue 02
DOI: 10.1088/1126-6708/2000/02/030

Gauged Linear Sigma Models for toroidal orbifold resolutions
journal, May 2012

Blaszczyk, Michael; Nibbelink, Stefan Groot; Ruehle, Fabian
Journal of High Energy Physics, Vol. 2012, Issue 5
DOI: 10.1007/JHEP05(2012)053

Superpotentials for vector bundle moduli
journal, March 2003

Buchbinder, Evgeny I.; Donagi, Ron; Ovrut, Burt A.
Nuclear Physics B, Vol. 653, Issue 3
DOI: 10.1016/S0550-3213(02)01093-3

Chiral rings do not suffice: n=(2,2) theories with nonzero fundamental group
journal, August 1994

Aspinwall, Paul S.; Morrison, David R.
Physics Letters B, Vol. 334, Issue 1-2
DOI: 10.1016/0370-2693(94)90594-0

The exact MSSM spectrum from string theory
journal, May 2006

Braun, Volker; He, Yang-Hui; Ovrut, Burt A.
Journal of High Energy Physics, Vol. 2006, Issue 05
DOI: 10.1088/1126-6708/2006/05/043

Heterotic line bundle standard models
journal, June 2012

Anderson, Lara B.; Gray, James; Lukas, Andre
Journal of High Energy Physics, Vol. 2012, Issue 6
DOI: 10.1007/JHEP06(2012)113

Aspects of (2, 0) string compactifications
journal, January 1988

Distler, Jacques; Greene, Brian
Nuclear Physics B, Vol. 304
DOI: 10.1016/0550-3213(88)90619-0

Exploring positive monad bundles and a new heterotic standard model
journal, February 2010

Anderson, Lara B.; Gray, James; He, Yang-Hui
Journal of High Energy Physics, Vol. 2010, Issue 2
DOI: 10.1007/JHEP02(2010)054

Calabi-Yau compactifications of non-supersymmetric heterotic string theory
journal, October 2015

Blaszczyk, Michael; Nibbelink, Stefan Groot; Loukas, Orestis
Journal of High Energy Physics, Vol. 2015, Issue 10
DOI: 10.1007/JHEP10(2015)166

A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory
journal, July 1991

Candelas, Philip; De La Ossa, Xenia C.; Green, Paul S.
Nuclear Physics B, Vol. 359, Issue 1
DOI: 10.1016/0550-3213(91)90292-6

Residues and world-sheet instantons
journal, October 2003

Beasley, Chris; Witten, Edward
Journal of High Energy Physics, Vol. 2003, Issue 10
DOI: 10.1088/1126-6708/2003/10/065

On free quotients of complete intersection Calabi-Yau manifolds
journal, April 2011

Braun, Volker
Journal of High Energy Physics, Vol. 2011, Issue 4
DOI: 10.1007/JHEP04(2011)005

Nonperturbative effects on the string world sheet
journal, December 1986

Dine, M.; Seiberg, N.; Wen, X. -G.
Nuclear Physics B, Vol. 278, Issue 4
DOI: 10.1016/0550-3213(86)90418-9

On the four-dimensional effective action of strongly coupled heterotic string theory
journal, October 1998

Lukas, André; Ovrut, Burt A.; Waldram, Daniel
Nuclear Physics B, Vol. 532, Issue 1-2
DOI: 10.1016/S0550-3213(98)00463-5

Heterotic compactification, an algorithmic approach
journal, July 2007

Anderson, Lara B.; He, Yang-Hui; Lukas, André
Journal of High Energy Physics, Vol. 2007, Issue 07
DOI: 10.1088/1126-6708/2007/07/049

Vector Bundle Moduli Superpotentials in Heterotic Superstrings and M-Theory
journal, July 2002

Buchbinder, Evgeny I.; Donagi, Ron; Ovrut, Burt A.
Journal of High Energy Physics, Vol. 2002, Issue 07
DOI: 10.1088/1126-6708/2002/07/066

Nonperturbative effects on the string world sheet (II)
journal, January 1987

Dine, M.; Seiberg, N.; Wen, X. -G.
Nuclear Physics B, Vol. 289
DOI: 10.1016/0550-3213(87)90383-X

Criteria for conformal invariance of (0, 2) models
journal, June 1995

Silverstein, Eva; Witten, Edward
Nuclear Physics B, Vol. 444, Issue 1-2
DOI: 10.1016/0550-3213(95)00186-V

A new method for finding vacua in string phenomenology
journal, July 2007

Gray, James; He, Yang-Hui; Ilderton, Anton
Journal of High Energy Physics, Vol. 2007, Issue 07
DOI: 10.1088/1126-6708/2007/07/023

Schoen manifold with line bundles as resolved magnetized orbifolds
journal, March 2013

Nibbelink, Stefan Groot; Vaudrevange, Patrick K. S.
Journal of High Energy Physics, Vol. 2013, Issue 3
DOI: 10.1007/JHEP03(2013)142

Complete intersection Calabi-Yau manifolds
journal, March 1988

Candelas, P.; Dale, A. M.; Lütken, C. A.
Nuclear Physics B, Vol. 298, Issue 3
DOI: 10.1016/0550-3213(88)90352-5

Non-perturbative superpotentials in string theory
journal, August 1996

Witten, Edward
Nuclear Physics B, Vol. 474, Issue 2
DOI: 10.1016/0550-3213(96)00283-0

Fivebranes, membranes and non-perturbative string theory
journal, December 1995

Becker, Katrin; Becker, Melanie; Strorninger, Andrew
Nuclear Physics B, Vol. 456, Issue 1-2
DOI: 10.1016/0550-3213(95)00487-1

Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces
journal, February 1995

Hosono, S.; Klemm, A.; Thiesen, S.
Communications in Mathematical Physics, Vol. 167, Issue 2
DOI: 10.1007/BF02100589

Heterotic models from vector bundles on toric Calabi-Yau manifolds
journal, May 2010

He, Yang-Hui; Lee, Seung-Joo; Lukas, André
Journal of High Energy Physics, Vol. 2010, Issue 5
DOI: 10.1007/JHEP05(2010)071

Stabilizing the complex structure in heterotic Calabi-Yau vacua
journal, February 2011

Anderson, Lara B.; Gray, James; Lukas, Andre
Journal of High Energy Physics, Vol. 2011, Issue 2
DOI: 10.1007/JHEP02(2011)088

Resurrecting (2,0) compactifications
journal, April 1987

Distler, Jacques
Physics Letters B, Vol. 188, Issue 4
DOI: 10.1016/0370-2693(87)91643-1

(MS)SM-like models on smooth Calabi-Yau manifolds from all three heterotic string theories: (MS)SM-like models on smooth Calabi-Yau
journal, September 2015

Groot Nibbelink, Stefan; Loukas, Orestis; Ruehle, Fabian
Fortschritte der Physik, Vol. 63, Issue 9-10
DOI: 10.1002/prop.201500041

Hodge numbers for all CICY quotients
journal, January 2017

Constantin, Andrei; Gray, James; Lukas, Andre
Journal of High Energy Physics, Vol. 2017, Issue 1
DOI: 10.1007/JHEP01(2017)001

Monad bundles in heterotic string compactifications
journal, July 2008

Anderson, Lara; He, Yang-Hui; Lukas, André
Journal of High Energy Physics, Vol. 2008, Issue 07
DOI: 10.1088/1126-6708/2008/07/104

Schoen manifold with line bundles as resolved magnetized orbifolds
text, January 2013

Nibbelink, S. G.; Vaudrevange, P. K. S.
Deutsches Elektronen-Synchrotron, DESY, Hamburg
DOI: 10.3204/phppubdb-26269

Stability Walls in Heterotic Theories
text, January 2009

Anderson, Lara B.; Gray, James; Lukas, Andre
arXiv
DOI: 10.48550/arxiv.0905.1748

Heterotic Models from Vector Bundles on Toric Calabi-Yau Manifolds
text, January 2009

He, Yang-Hui; Lee, Seung-Joo; Lukas, Andre
arXiv
DOI: 10.48550/arxiv.0911.0865

Exploring Positive Monad Bundles And A New Heterotic Standard Model
text, January 2009

Anderson, Lara B.; Gray, James; He, Yang-Hui
arXiv
DOI: 10.48550/arxiv.0911.1569

On Free Quotients of Complete Intersection Calabi-Yau Manifolds
text, January 2010

Braun, Volker
arXiv
DOI: 10.48550/arxiv.1003.3235

Gauged Linear Sigma Models for toroidal orbifold resolutions
text, January 2011

Blaszczyk, Michael; Nibbelink, Stefan Groot; Ruehle, Fabian
arXiv
DOI: 10.48550/arxiv.1111.5852

Schoen manifold with line bundles as resolved magnetized orbifolds
preprint, January 2012

Nibbelink, Stefan Groot; Vaudrevange, Patrick K. S.
arXiv
DOI: 10.48550/arxiv.1212.4033

Hodge Numbers for All CICY Quotients
text, January 2016

Constantin, Andrei; Gray, James; Lukas, Andre
arXiv
DOI: 10.48550/arxiv.1607.01830

Vector Bundle Moduli Superpotentials in Heterotic Superstrings and M-Theory
text, January 2002

Buchbinder, Evgeny I.; Donagi, Ron; Ovrut, Burt A.
arXiv
DOI: 10.48550/arxiv.hep-th/0206203

Heterotic Compactification, An Algorithmic Approach
text, January 2007

Anderson, Lara B.; He, Yang-Hui; Lukas, Andre
arXiv
DOI: 10.48550/arxiv.hep-th/0702210

Worldsheet Instantons, Torsion Curves, and Non-Perturbative Superpotentials
text, January 2007

Braun, Volker; Kreuzer, Maximilian; Ovrut, Burt A.
arXiv
DOI: 10.48550/arxiv.hep-th/0703134

A New Method for Finding Vacua in String Phenomenology
text, January 2007

Gray, James; He, Yang-Hui; Ilderton, Anton
arXiv
DOI: 10.48550/arxiv.hep-th/0703249

Mirror Symmetry, Mirror Map and Applications to Calabi-Yau Hypersurfaces
text, January 1993

Hosono, S.; Klemm, A.; Theisen, S.
arXiv
DOI: 10.48550/arxiv.hep-th/9308122

Chiral Rings Do Not Suffice: N=(2,2) Theories with Nonzero Fundamental Group
text, January 1994

Aspinwall, P. S.; Morrison, D. R.
arXiv
DOI: 10.48550/arxiv.hep-th/9406032

Criteria for Conformal Invariance of (0,2) Models
text, January 1995

Silverstein, Eva; Witten, Edward
arXiv
DOI: 10.48550/arxiv.hep-th/9503212

Fivebranes, Membranes and Non-Perturbative String Theory
text, January 1995

Becker, Katrin; Becker, Melanie; Strominger, Andrew
arXiv
DOI: 10.48550/arxiv.hep-th/9507158

Non-Perturbative Superpotentials In String Theory
text, January 1996

Witten, Edward
arXiv
DOI: 10.48550/arxiv.hep-th/9604030

On the Four-Dimensional Effective Action of Strongly Coupled Heterotic String Theory
text, January 1997

Lukas, Andre; Ovrut, Burt A.; Waldram, Daniel
arXiv
DOI: 10.48550/arxiv.hep-th/9710208

Non-vanishing superpotentials in heterotic string theory and discrete torsion
journal, January 2017

Buchbinder, Evgeny I.; Ovrut, Burt A.
Journal of High Energy Physics, Vol. 2017, Issue 1
DOI: 10.1007/jhep01(2017)038

Resurrecting (2,0) compactifications
journal, April 1987

Distler, Jacques
Physics Letters B, Vol. 188, Issue 4
DOI: 10.1016/0370-2693(87)91643-1

(MS)SM-like models on smooth Calabi-Yau manifolds from all three heterotic string theories
text, January 2015

Nibbelink, Stefan Groot; Loukas, Orestis; Ruehle, Fabian
arXiv
DOI: 10.48550/arxiv.1507.07559

Superpotentials for Vector Bundle Moduli
text, January 2002

Buchbinder, Evgeny I.; Donagi, Ron; Ovrut, Burt A.
arXiv
DOI: 10.48550/arxiv.hep-th/0205190

Worldsheet Instantons, Torsion Curves, and Non-Perturbative Superpotentials
text, January 2007

Braun, Volker; Kreuzer, Maximilian; Ovrut, Burt A.
arXiv
DOI: 10.48550/arxiv.hep-th/0703134

Works referencing / citing this record:

Non-vanishing heterotic superpotentials on elliptic fibrations
journal, September 2018

Buchbinder, Evgeny I.; Lin, Ling; Ovrut, Burt A.
Journal of High Energy Physics, Vol. 2018, Issue 9
DOI: 10.1007/jhep09(2018)111

Fibrations in CICY threefolds
journal, October 2017

Anderson, Lara B.; Gao, Xin; Gray, James
Journal of High Energy Physics, Vol. 2017, Issue 10
DOI: 10.1007/jhep10(2017)077

Fibrations in CICY Threefolds
text, January 2017

Anderson, Lara B.; Gao, Xin; Gray, James
arXiv
DOI: 10.48550/arxiv.1708.07907

Non-vanishing Heterotic Superpotentials on Elliptic Fibrations
text, January 2018

Buchbinder, Evgeny I.; Lin, Ling; Ovrut, Burt A.
arXiv
DOI: 10.48550/arxiv.1806.04669

Figures / Tables found in this record:

Figure 1 (p. 11)

Figure 2 (p. 14)

Figure 3 (p. 19)

Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.

Similar Records in DOE PAGES and OSTI.GOV collections:

Non-vanishing superpotentials in heterotic string theory and discrete torsion

Journal Article Buchbinder, Evgeny I. ; Ovrut, Burt A. - Journal of High Energy Physics (Online)

Here, we study the non-perturbative superpotential in E8 E8 heterotic string theory on a non-simply connected Calabi-Yau manifold X, as well as on its simply connected covering space ~X . The superpotential is induced by the string wrapping holomorphic, isolated, genus 0 curves. According to the residue theorem of Beasley and Witten, the non-perturbative superpotential must vanish in a large class of heterotic vacua because the contributions from curves in the same homology class cancel each other. We point out, however, that in certain cases the curves treated in the residue theorem as lying in the same homology class, canmore »« less
Cited by 9
https://doi.org/10.1007/JHEP01(2017)038

Full Text Available
Non-vanishing heterotic superpotentials on elliptic fibrations

Journal Article Buchbinder, Evgeny I. ; Lin, Ling ; Ovrut, Burt A. - Journal of High Energy Physics (Online)

We present models of heterotic compactification on Calabi-Yau threefolds and compute the non-perturbative superpotential for vector bundle moduli. The key feature of these models is that the threefolds, which are elliptically fibered over del Pezzo surfaces, have homology classes with a unique holomorphic, isolated genus-zero curve. Using the spectral cover construction, we present vector bundles for which we can explicitly calculate the Pfaffians associated with string instantons on these curves. These are shown to be non-zero, thus leading to a non-vanishing superpotential in the 4D effective action. We discuss, in detail, why such compactifications avoid the Beasley-Witten residue theorem.
Cited by 4
https://doi.org/10.1007/jhep09(2018)111

Full Text Available
Non-Perturbative Superpotentials and Discrete Torsion

Journal Article Buchbinder, E. I., E-mail: evgeny.buchbinder@uwa.edu.au - Physics of Particles and Nuclei

We discuss the non-perturbative superpotential in E{sub 8}×E{sub 8} heterotic string theory on a non-simply connected Calabi–Yau manifold X, as well as on its simply connected covering space X-tilde . The superpotential is induced by the string wrapping holomorphic, isolated, genus zero curves. We show, in a specific example, that the superpotential is non-zero both on X-tilde and on X avoiding the no-go residue theorem of Beasley and Witten. On the non-simply connected manifold X, we explicitly compute the leading contribution to the superpotential from all holomorphic, isolated, genus zero curves with minimal area. The reason for the non-vanishing ofmore »« less
https://doi.org/10.1134/S1063779618050088
Stabilizing all geometric moduli in heterotic Calabi-Yau vacua

Journal Article Anderson, Lara B. ; Gray, James ; Lukas, Andre ; ... - Physical Review. D, Particles, Fields, Gravitation and Cosmology

We propose a scenario to stabilize all geometric moduli - that is, the complex structure, Kähler moduli and the dilaton - in smooth heterotic Calabi-Yau compactifications without Neveu-Schwarz three-form flux. This is accomplished using the gauge bundle required in any heterotic compactification, whose perturbative effects on the moduli are combined with non-perturbative corrections. We argue that, for appropriate gauge bundles, all complex structure and a large number of other moduli can be perturbatively stabilized - in the most restrictive case, leaving only one combination of Kähler moduli and the dilaton as a flat direction. At this stage, the remaining modulimore »« less
Cited by 71
https://doi.org/10.1103/PhysRevD.83.106011

Full Text Available
Mirror symmetry and elliptic Calabi-Yau manifolds

Journal Article Huang, Yu-Chien ; Taylor, Washington - Journal of High Energy Physics (Online)

We find that for many Calabi-Yau threefolds with elliptic or genus one fibrations mirror symmetry factorizes between the fiber and the base of the fibration. In the simplest examples, the generic CY elliptic fibration over any toric base surface B that supports an elliptic Calabi-Yau threefold has a mirror that is an elliptic fibration over a dual toric base surfacemore »« less
Cited by 5
https://doi.org/10.1007/jhep04(2019)083

Full Text Available

Similar Records

Title: Heterotic instanton superpotentials from complete intersection Calabi-Yau manifolds

Abstract

Citation Formats

Figures / Tables:

Nonperturbative superpotentials from membrane instantons in heterotic M-theory journal, October 2001

Stability walls in heterotic theories journal, September 2009

Worldsheet instantons, torsion curves and non-perturbative superpotentials journal, June 2007

World-sheet corrections via D-instantons journal, February 2000

Gauged Linear Sigma Models for toroidal orbifold resolutions journal, May 2012

Superpotentials for vector bundle moduli journal, March 2003

Chiral rings do not suffice: n=(2,2) theories with nonzero fundamental group journal, August 1994

The exact MSSM spectrum from string theory journal, May 2006

Heterotic line bundle standard models journal, June 2012

Aspects of (2, 0) string compactifications journal, January 1988

Exploring positive monad bundles and a new heterotic standard model journal, February 2010

Calabi-Yau compactifications of non-supersymmetric heterotic string theory journal, October 2015

A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory journal, July 1991

Residues and world-sheet instantons journal, October 2003

On free quotients of complete intersection Calabi-Yau manifolds journal, April 2011

Nonperturbative effects on the string world sheet journal, December 1986

On the four-dimensional effective action of strongly coupled heterotic string theory journal, October 1998

Heterotic compactification, an algorithmic approach journal, July 2007

Vector Bundle Moduli Superpotentials in Heterotic Superstrings and M-Theory journal, July 2002

Nonperturbative effects on the string world sheet (II) journal, January 1987

Criteria for conformal invariance of (0, 2) models journal, June 1995

A new method for finding vacua in string phenomenology journal, July 2007

Schoen manifold with line bundles as resolved magnetized orbifolds journal, March 2013

Complete intersection Calabi-Yau manifolds journal, March 1988

Non-perturbative superpotentials in string theory journal, August 1996

Fivebranes, membranes and non-perturbative string theory journal, December 1995

Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces journal, February 1995

Heterotic models from vector bundles on toric Calabi-Yau manifolds journal, May 2010

Stabilizing the complex structure in heterotic Calabi-Yau vacua journal, February 2011

Resurrecting (2,0) compactifications journal, April 1987

(MS)SM-like models on smooth Calabi-Yau manifolds from all three heterotic string theories: (MS)SM-like models on smooth Calabi-Yau journal, September 2015

Hodge numbers for all CICY quotients journal, January 2017

Monad bundles in heterotic string compactifications journal, July 2008

Schoen manifold with line bundles as resolved magnetized orbifolds text, January 2013

Stability Walls in Heterotic Theories text, January 2009

Heterotic Models from Vector Bundles on Toric Calabi-Yau Manifolds text, January 2009

Exploring Positive Monad Bundles And A New Heterotic Standard Model text, January 2009

On Free Quotients of Complete Intersection Calabi-Yau Manifolds text, January 2010

Gauged Linear Sigma Models for toroidal orbifold resolutions text, January 2011

Schoen manifold with line bundles as resolved magnetized orbifolds preprint, January 2012

Hodge Numbers for All CICY Quotients text, January 2016

Vector Bundle Moduli Superpotentials in Heterotic Superstrings and M-Theory text, January 2002

Heterotic Compactification, An Algorithmic Approach text, January 2007

Worldsheet Instantons, Torsion Curves, and Non-Perturbative Superpotentials text, January 2007

A New Method for Finding Vacua in String Phenomenology text, January 2007

Mirror Symmetry, Mirror Map and Applications to Calabi-Yau Hypersurfaces text, January 1993

Chiral Rings Do Not Suffice: N=(2,2) Theories with Nonzero Fundamental Group text, January 1994

Criteria for Conformal Invariance of (0,2) Models text, January 1995

Fivebranes, Membranes and Non-Perturbative String Theory text, January 1995

Non-Perturbative Superpotentials In String Theory text, January 1996

On the Four-Dimensional Effective Action of Strongly Coupled Heterotic String Theory text, January 1997

Non-vanishing superpotentials in heterotic string theory and discrete torsion journal, January 2017

Resurrecting (2,0) compactifications journal, April 1987

(MS)SM-like models on smooth Calabi-Yau manifolds from all three heterotic string theories text, January 2015

Superpotentials for Vector Bundle Moduli text, January 2002

Worldsheet Instantons, Torsion Curves, and Non-Perturbative Superpotentials text, January 2007

Non-vanishing heterotic superpotentials on elliptic fibrations journal, September 2018

Fibrations in CICY threefolds journal, October 2017

Fibrations in CICY Threefolds text, January 2017

Non-vanishing Heterotic Superpotentials on Elliptic Fibrations text, January 2018

Nonperturbative superpotentials from membrane instantons in heterotic M-theory
journal, October 2001

Stability walls in heterotic theories
journal, September 2009

Worldsheet instantons, torsion curves and non-perturbative superpotentials
journal, June 2007

World-sheet corrections via D-instantons
journal, February 2000

Gauged Linear Sigma Models for toroidal orbifold resolutions
journal, May 2012

Superpotentials for vector bundle moduli
journal, March 2003

Chiral rings do not suffice: n=(2,2) theories with nonzero fundamental group
journal, August 1994

The exact MSSM spectrum from string theory
journal, May 2006

Heterotic line bundle standard models
journal, June 2012

Aspects of (2, 0) string compactifications
journal, January 1988

Exploring positive monad bundles and a new heterotic standard model
journal, February 2010

Calabi-Yau compactifications of non-supersymmetric heterotic string theory
journal, October 2015

A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory
journal, July 1991

Residues and world-sheet instantons
journal, October 2003

On free quotients of complete intersection Calabi-Yau manifolds
journal, April 2011

Nonperturbative effects on the string world sheet
journal, December 1986

On the four-dimensional effective action of strongly coupled heterotic string theory
journal, October 1998

Heterotic compactification, an algorithmic approach
journal, July 2007

Vector Bundle Moduli Superpotentials in Heterotic Superstrings and M-Theory
journal, July 2002

Nonperturbative effects on the string world sheet (II)
journal, January 1987

Criteria for conformal invariance of (0, 2) models
journal, June 1995

A new method for finding vacua in string phenomenology
journal, July 2007

Schoen manifold with line bundles as resolved magnetized orbifolds
journal, March 2013

Complete intersection Calabi-Yau manifolds
journal, March 1988

Non-perturbative superpotentials in string theory
journal, August 1996

Fivebranes, membranes and non-perturbative string theory
journal, December 1995

Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces
journal, February 1995

Heterotic models from vector bundles on toric Calabi-Yau manifolds
journal, May 2010

Stabilizing the complex structure in heterotic Calabi-Yau vacua
journal, February 2011

Resurrecting (2,0) compactifications
journal, April 1987

(MS)SM-like models on smooth Calabi-Yau manifolds from all three heterotic string theories: (MS)SM-like models on smooth Calabi-Yau
journal, September 2015

Hodge numbers for all CICY quotients
journal, January 2017

Monad bundles in heterotic string compactifications
journal, July 2008

Schoen manifold with line bundles as resolved magnetized orbifolds
text, January 2013

Stability Walls in Heterotic Theories
text, January 2009

Heterotic Models from Vector Bundles on Toric Calabi-Yau Manifolds
text, January 2009

Exploring Positive Monad Bundles And A New Heterotic Standard Model
text, January 2009

On Free Quotients of Complete Intersection Calabi-Yau Manifolds
text, January 2010

Gauged Linear Sigma Models for toroidal orbifold resolutions
text, January 2011

Schoen manifold with line bundles as resolved magnetized orbifolds
preprint, January 2012

Hodge Numbers for All CICY Quotients
text, January 2016

Vector Bundle Moduli Superpotentials in Heterotic Superstrings and M-Theory
text, January 2002

Heterotic Compactification, An Algorithmic Approach
text, January 2007

Worldsheet Instantons, Torsion Curves, and Non-Perturbative Superpotentials
text, January 2007

A New Method for Finding Vacua in String Phenomenology
text, January 2007

Mirror Symmetry, Mirror Map and Applications to Calabi-Yau Hypersurfaces
text, January 1993

Chiral Rings Do Not Suffice: N=(2,2) Theories with Nonzero Fundamental Group
text, January 1994

Criteria for Conformal Invariance of (0,2) Models
text, January 1995

Fivebranes, Membranes and Non-Perturbative String Theory
text, January 1995

Non-Perturbative Superpotentials In String Theory
text, January 1996

On the Four-Dimensional Effective Action of Strongly Coupled Heterotic String Theory
text, January 1997

Non-vanishing superpotentials in heterotic string theory and discrete torsion
journal, January 2017

Resurrecting (2,0) compactifications
journal, April 1987

(MS)SM-like models on smooth Calabi-Yau manifolds from all three heterotic string theories
text, January 2015

Superpotentials for Vector Bundle Moduli
text, January 2002

Worldsheet Instantons, Torsion Curves, and Non-Perturbative Superpotentials
text, January 2007

Non-vanishing heterotic superpotentials on elliptic fibrations
journal, September 2018

Fibrations in CICY threefolds
journal, October 2017

Fibrations in CICY Threefolds
text, January 2017

Non-vanishing Heterotic Superpotentials on Elliptic Fibrations
text, January 2018