The edge of supersymmetry: Stability walls in heterotic theory

Anderson, Lara B.; Gray, James; Lukas, Andre; Ovrut, Burt

doi:10.1016/j.physletb.2009.05.025

Title: The edge of supersymmetry: Stability walls in heterotic theory

Abstract

We explicitly describe, in the language of four-dimensional N = 1 supersymmetric field theory, what happens when the moduli of a heterotic Calabi-Yau compactification change so as to make the internal non-Abelian gauge fields non-supersymmetric. At the edge of the region in Kähler moduli space where supersymmetry can be preserved, an additional anomalous U(1) gauge symmetry appears in the four-dimensional theory. The D-term contribution to the scalar potential associated to this U(1) attempts to force the system back into a supersymmetric configuration and provides a consistent low-energy description of gauge bundle stability.

Authors:

Anderson, Lara B. ^[1]; Gray, James ^[2]; Lukas, Andre ^[2]; Ovrut, Burt ^[1]

Institute for Advanced Study, Princeton, NJ (United States). School of Natural Sciences; Univ. of Pennsylvania, Philadelphia, PA (United States)
Oxford Univ., Oxford (United Kingdom)

Publication Date:: 2009-05-15

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

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1201592

Grant/Contract Number:: FG02-95ER40893

Resource Type:: Accepted Manuscript

Journal Name:: Physics Letters B

Additional Journal Information:: Journal Volume: 677; Journal Issue: 3-4; Journal ID: ISSN 0370-2693

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; four-dimensional N=1 supersymmetric field theory

Citation Formats


                    Anderson, Lara B., Gray, James, Lukas, Andre, and Ovrut, Burt. The edge of supersymmetry: Stability walls in heterotic theory.  United States: N. p., 2009. 
Web.  doi:10.1016/j.physletb.2009.05.025.

Copy to clipboard


                    Anderson, Lara B., Gray, James, Lukas, Andre, & Ovrut, Burt. The edge of supersymmetry: Stability walls in heterotic theory.  United States.  https://doi.org/10.1016/j.physletb.2009.05.025

Copy to clipboard


                    Anderson, Lara B., Gray, James, Lukas, Andre, and Ovrut, Burt. Fri .  
"The edge of supersymmetry: Stability walls in heterotic theory".  United States.  https://doi.org/10.1016/j.physletb.2009.05.025.  https://www.osti.gov/servlets/purl/1201592.

Copy to clipboard


                    
@article{osti_1201592,

  title        = {The edge of supersymmetry: Stability walls in heterotic theory},

  author       = {Anderson, Lara B. and Gray, James and Lukas, Andre and Ovrut, Burt},

  abstractNote = {We explicitly describe, in the language of four-dimensional N = 1 supersymmetric field theory, what happens when the moduli of a heterotic Calabi-Yau compactification change so as to make the internal non-Abelian gauge fields non-supersymmetric. At the edge of the region in Kähler moduli space where supersymmetry can be preserved, an additional anomalous U(1) gauge symmetry appears in the four-dimensional theory. The D-term contribution to the scalar potential associated to this U(1) attempts to force the system back into a supersymmetric configuration and provides a consistent low-energy description of gauge bundle stability.},

  doi          = {10.1016/j.physletb.2009.05.025},

  journal      = {Physics Letters B},

  number       = 3-4,

  volume       = 677,

  place        = {United States},

  year         = {2009},

  month        = {5}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1016/j.physletb.2009.05.025

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 41 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Vacuum configurations for superstrings
journal, January 1985

Candelas, P.; Horowitz, Gary T.; Strominger, Andrew
Nuclear Physics B, Vol. 258
DOI: 10.1016/0550-3213(85)90602-9

On the low-energy limit of superstring theories
journal, April 1986

Derendinger, J. P.; Ibañez, L. E.; Nilles, H. P.
Nuclear Physics B, Vol. 267, Issue 2
DOI: 10.1016/0550-3213(86)90396-2

Low-energy effective action for the superstring
journal, August 1986

Burgess, C. P.; Font, A.; Quevedo, F.
Nuclear Physics B, Vol. 272, Issue 3-4
DOI: 10.1016/0550-3213(86)90239-7

Model-independent analysis of soft terms in effective supergravity and in string theory
journal, June 1993

Kaplunovsky, Vadim S.; Louis, Jan
Physics Letters B, Vol. 306, Issue 3-4
DOI: 10.1016/0370-2693(93)90078-V

On effective field theories describing (2, 2) vacua of the heterotic string
journal, January 1990

Dixon, Lance J.; Kaplunovsky, Vadim S.; Louis, Jan
Nuclear Physics B, Vol. 329, Issue 1
DOI: 10.1016/0550-3213(90)90057-K

Exactly solvable (0,2) supersymmetric string vacua with GUT gauge groups
journal, November 1995

Blumenhagen, Ralph; Wißkirchen, Andreas
Nuclear Physics B, Vol. 454, Issue 3
DOI: 10.1016/0550-3213(95)00484-A

A three-generation superstring model
journal, December 1986

Greene, Brian R.; Kirklin, Kelley H.; Miron, Paul J.
Nuclear Physics B, Vol. 278, Issue 3
DOI: 10.1016/0550-3213(86)90057-X

Superstring models with SU(5) and SO(10) unifying groups
journal, September 1986

Greene, Brian R.; Kirklin, Kelley H.; Miron, Paul J.
Nuclear Physics B, Vol. 274, Issue 3-4
DOI: 10.1016/0550-3213(86)90527-4

Couplings in the heterotic superconformal three generation model
journal, October 1989

Greene, B. R.; Lütken, C. A.; Ross, G. G.
Nuclear Physics B, Vol. 325, Issue 1
DOI: 10.1016/0550-3213(89)90373-8

A heterotic standard model
journal, July 2005

Braun, Volker; He, Yang-Hui; Ovrut, Burt A.
Physics Letters B, Vol. 618, Issue 1-4
DOI: 10.1016/j.physletb.2005.05.007

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

An <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="italic">SU</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>5</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> heterotic standard model
journal, February 2006

Bouchard, Vincent; Donagi, Ron
Physics Letters B, Vol. 633, Issue 6
DOI: 10.1016/j.physletb.2005.12.042

Tri-linear couplings in an heterotic minimal supersymmetric Standard Model
journal, June 2006

Bouchard, Vincent; Cvetič, Mirjam; Donagi, Ron
Nuclear Physics B, Vol. 745, Issue 1-2
DOI: 10.1016/j.nuclphysb.2006.03.032

Strong coupling expansion of Calabi-Yau compactification
journal, July 1996

Witten, Edward
Nuclear Physics B, Vol. 471, Issue 1-2
DOI: 10.1016/0550-3213(96)00190-3

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

Universe as a domain wall
journal, March 1999

Lukas, André; Ovrut, Burt A.; Stelle, K. S.
Physical Review D, Vol. 59, Issue 8
DOI: 10.1103/PhysRevD.59.086001

Nonstandard embedding and five-branes in heterotic M theory
journal, April 1999

Lukas, André; Ovrut, Burt A.; Waldram, Daniel
Physical Review D, Vol. 59, Issue 10
DOI: 10.1103/PhysRevD.59.106005

Heterotic M-theory in five dimensions
journal, July 1999

Lukas, André; Ovrut, Burt A.; Stelle, K. S.
Nuclear Physics B, Vol. 552, Issue 1-2
DOI: 10.1016/S0550-3213(99)00196-0

Kähler cone substructure
journal, January 1998

Sharpe, Eric
Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 6
DOI: 10.4310/ATMP.1998.v2.n6.a7

Stability of the minimal heterotic standard model bundle
journal, June 2006

Braun, Volker; He, Yang-Hui; Ovrut, Burt A.
Journal of High Energy Physics, Vol. 2006, Issue 06
DOI: 10.1088/1126-6708/2006/06/032

Stabilizing moduli with a positive cosmological constant in heterotic M-theory
journal, July 2006

Braun, Volker; Ovrut, Burt A.
Journal of High Energy Physics, Vol. 2006, Issue 07
DOI: 10.1088/1126-6708/2006/07/035

Heterotic standard model moduli
journal, January 2006

Braun, Volker; He, Yang-Hui; Ovrut, Burt A.
Journal of High Energy Physics, Vol. 2006, Issue 01
DOI: 10.1088/1126-6708/2006/01/025

Vector Bundle Moduli and Small Instanton Transitions
journal, June 2002

Buchbinder, Evgeny; Donagi, Ron; Ovrut, Burt A.
Journal of High Energy Physics, Vol. 2002, Issue 06
DOI: 10.1088/1126-6708/2002/06/054

Fayet-Iliopoulos terms in string theory
journal, January 1987

Dine, M.; Seiberg, N.; Witten, E.
Nuclear Physics B, Vol. 289
DOI: 10.1016/0550-3213(87)90395-6

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

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

Heterotic anomaly cancellation in five dimensions
journal, January 2000

Lukas, André; Stelle, Kellog S.
Journal of High Energy Physics, Vol. 2000, Issue 01
DOI: 10.1088/1126-6708/2000/01/010

Loop-corrected compactifications of the heterotic string with line bundles
journal, June 2005

Blumenhagen, Ralph; Honecker, Gabriele; Weigand, Timo
Journal of High Energy Physics, Vol. 2005, Issue 06
DOI: 10.1088/1126-6708/2005/06/020

Some three generation (0,2) Calabi-Yau models
journal, April 1995

Kachru, Shamit
Physics Letters B, Vol. 349, Issue 1-2
DOI: 10.1016/0370-2693(95)00259-N

Target space duality for (0,2) compactifications
journal, March 1998

Blumenhagen, Ralph
Nuclear Physics B, Vol. 513, Issue 3
DOI: 10.1016/S0550-3213(97)00721-9

Chirality Change in String Theory
journal, June 2004

Douglas, M. R.; Zhou, C-G
Journal of High Energy Physics, Vol. 2004, Issue 06
DOI: 10.1088/1126-6708/2004/06/014

Heterotic GUT and Standard Model vacua from simply connected Calabi–Yau manifolds
journal, September 2006

Blumenhagen, Ralph; Moster, Sebastian; Weigand, Timo
Nuclear Physics B, Vol. 751, Issue 1-2
DOI: 10.1016/j.nuclphysb.2006.06.005

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

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

On the existence of hermitian-yang-mills connections in stable vector bundles
journal, January 1986

Uhlenbeck, K.; Yau, S. T.
Communications on Pure and Applied Mathematics, Vol. 39, Issue S1
DOI: 10.1002/cpa.3160390714

A note on our previous paper: On the existence of Hermitian Yang–Mills connections in stable vector bundles
journal, July 1989

Uhlenbeck, K.; Yau, S. T.
Communications on Pure and Applied Mathematics, Vol. 42, Issue 5
DOI: 10.1002/cpa.3160420505

Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
journal, January 1985

Donaldson, S. K.
Proceedings of the London Mathematical Society, Vol. s3-50, Issue 1
DOI: 10.1112/plms/s3-50.1.1

Moduli dependent spectra of heterotic compactifications
journal, September 2004

Donagi, Ron; He, Yang-Hui; Ovrut, Burt A.
Physics Letters B, Vol. 598, Issue 3-4
DOI: 10.1016/j.physletb.2004.08.010

The Particle Spectrum of Heterotic Compactifications
journal, December 2004

Donagi, Ron; He, Yang-Hui; Ovrut, Burt A.
Journal of High Energy Physics, Vol. 2004, Issue 12
DOI: 10.1088/1126-6708/2004/12/054

The spectra of heterotic standard model vacua
journal, June 2005

Donagi, Ron; He, Yang-Hui; Ovrut, Burt A.
Journal of High Energy Physics, Vol. 2005, Issue 06
DOI: 10.1088/1126-6708/2005/06/070

Group theory for unified model building
journal, December 1981

Slansky, R.
Physics Reports, Vol. 79, Issue 1
DOI: 10.1016/0370-1573(81)90092-2

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

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

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

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

The mass Spectra, Hierarchy and Cosmology of b-l mssm Heterotic Compactifications
journal, April 2011

Ambroso, Michael; Ovrut, Burt A.
International Journal of Modern Physics A, Vol. 26, Issue 09
DOI: 10.1142/s0217751x11052943

The moduli space of heterotic line bundle models: a case study for the tetra-quadric
journal, March 2014

Buchbinder, Evgeny I.; Constantin, Andrei; Lukas, Andre
Journal of High Energy Physics, Vol. 2014, Issue 3
DOI: 10.1007/jhep03(2014)025

A heterotic standard model with B − L symmetry and a stable proton
journal, June 2014

Buchbinder, Evgeny I.; Constantin, Andrei; Lukas, Andre
Journal of High Energy Physics, Vol. 2014, Issue 6
DOI: 10.1007/jhep06(2014)100

Stability Walls in Heterotic Theories
text, January 2009

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

The Mass Spectra, Hierarchy and Cosmology of B-L MSSM Heterotic Compactifications
text, January 2010

Ambroso, Michael; Ovrut, Burt A.
arXiv
DOI: 10.48550/arxiv.1005.5392

The Moduli Space of Heterotic Line Bundle Models: a Case Study for the Tetra-Quadric
text, January 2013

Buchbinder, Evgeny I.; Constantin, Andrei; Lukas, Andre
arXiv
DOI: 10.48550/arxiv.1311.1941

A Heterotic Standard Model with B-L Symmetry and a Stable Proton
text, January 2014

Buchbinder, Evgeny I.; Constantin, Andrei; Lukas, Andre
arXiv
DOI: 10.48550/arxiv.1404.2767

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

Similar Records in DOE PAGES and OSTI.GOV collections:

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 40
https://doi.org/10.1103/PhysRevD.83.106011

Full Text Available
Origin of Abelian gauge symmetries in heterotic/F-theory duality

Journal Article Cvetič, Mirjam ; Grassi, Antonella ; Klevers, Denis ; ... - Journal of High Energy Physics (Online)

Here, we study aspects of heterotic/F-theory duality for compactifications with Abelian gauge symmetries. We consider F-theory on general Calabi-Yau manifolds with a rank one Mordell-Weil group of rational sections. By rigorously performing the stable degeneration limit in a class of toric models, and also derive both the Calabi-Yau geometry and the spectral cover describing the vector bundle in the heterotic dual theory. We carefully investigate the spectral cover employing the group law on the elliptic curve in the heterotic theory. We find in explicit examples that there are three different classes of heterotic duals that have U(1) factors in theirmore »« less
Cited by 6
https://doi.org/10.1007/JHEP04(2016)041

Full Text Available
Stabilizing all geometric moduli in heterotic Calabi-Yau vacua

Journal Article Anderson, Lara B ; Ovrut, Burt ; Gray, James ; ... - Physical Review. D, Particles Fields

We propose a scenario to stabilize all geometric moduli--that is, the complex structure, Kaehler 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 nonperturbative 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 Kaehler moduli and the dilaton as a flat direction. At this stage, the remaining moduli space consists of Minkowski vacua. Thatmore »« less
https://doi.org/10.1103/PHYSREVD.83.106011
The mass spectra, hierarchy and cosmology of B-L MSSM heterotic compactifications

Journal Article Ambroso, Michael ; Ovrut, Burt A. - International Journal of Modern Physics A

The matter spectrum of the MSSM, including three right-handed neutrino supermultiplets and one pair of Higgs-Higgs conjugate superfields, can be obtained by compactifying the E₈ x E₈ heterotic string and M-theory on Calabi-Yau manifolds with specific SU(4) vector bundles. These theories have the standard model gauge group augmented by an additional gauged U(1)_B-L. Their minimal content requires that the B-L gauge symmetry be spontaneously broken by a vacuum expectation value of at least one right-handed neutrino. In previous papers, we presented the results of a quasi-analytic renormalization group analysis showing that B-L gauge symmetry is indeed radiatively broken with anmore »« less
Cited by 17
https://doi.org/10.1142/S0217751X11052943

Full Text Available
S-Track stabilization of heterotic de Sitter vacua

Journal Article Curio, Gottfried ; Krause, Axel ; Jefferson Physical Laboratory, Harvard University, Cambridge, Massachusetts 02138 - Physical Review. D, Particles Fields

We present a new mechanism, the S-Track, to stabilize the volume modulus S in heterotic M-theory flux compactifications along with the orbifold size T besides complex structure and vector bundle moduli stabilization. The key dynamical ingredient which makes the volume modulus stabilization possible, is M5 instantons arising from M5 branes wrapping the whole Calabi-Yau slice. These are natural in heterotic M theory where the warping shrinks the Calabi-Yau volume along S{sup 1}/Z{sub 2}. Combined with H flux, open M2 instantons, and hidden sector gaugino condensation it leads to a superpotential W which stabilizes S similar to a racetrack but withoutmore »« less
https://doi.org/10.1103/PHYSREVD.75.126003

Similar Records

Title: The edge of supersymmetry: Stability walls in heterotic theory

Abstract

Citation Formats

Vacuum configurations for superstrings journal, January 1985

On the low-energy limit of superstring theories journal, April 1986

Low-energy effective action for the superstring journal, August 1986

Model-independent analysis of soft terms in effective supergravity and in string theory journal, June 1993

On effective field theories describing (2, 2) vacua of the heterotic string journal, January 1990

Exactly solvable (0,2) supersymmetric string vacua with GUT gauge groups journal, November 1995

A three-generation superstring model journal, December 1986

Superstring models with SU(5) and SO(10) unifying groups journal, September 1986

Couplings in the heterotic superconformal three generation model journal, October 1989

A heterotic standard model journal, July 2005

The exact MSSM spectrum from string theory journal, May 2006

Tri-linear couplings in an heterotic minimal supersymmetric Standard Model journal, June 2006

Strong coupling expansion of Calabi-Yau compactification journal, July 1996

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

Universe as a domain wall journal, March 1999

Nonstandard embedding and five-branes in heterotic M theory journal, April 1999

Heterotic M-theory in five dimensions journal, July 1999

Kähler cone substructure journal, January 1998

Stability of the minimal heterotic standard model bundle journal, June 2006

Stabilizing moduli with a positive cosmological constant in heterotic M-theory journal, July 2006

Heterotic standard model moduli journal, January 2006

Vector Bundle Moduli and Small Instanton Transitions journal, June 2002

Fayet-Iliopoulos terms in string theory journal, January 1987

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

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

Heterotic anomaly cancellation in five dimensions journal, January 2000

Loop-corrected compactifications of the heterotic string with line bundles journal, June 2005

Some three generation (0,2) Calabi-Yau models journal, April 1995

Target space duality for (0,2) compactifications journal, March 1998

Chirality Change in String Theory journal, June 2004

Heterotic GUT and Standard Model vacua from simply connected Calabi–Yau manifolds journal, September 2006

Heterotic compactification, an algorithmic approach journal, July 2007

Monad bundles in heterotic string compactifications journal, July 2008

On the existence of hermitian-yang-mills connections in stable vector bundles journal, January 1986

A note on our previous paper: On the existence of Hermitian Yang–Mills connections in stable vector bundles journal, July 1989

Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles journal, January 1985

Moduli dependent spectra of heterotic compactifications journal, September 2004

The Particle Spectrum of Heterotic Compactifications journal, December 2004

The spectra of heterotic standard model vacua journal, June 2005

Group theory for unified model building journal, December 1981

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

Stability walls in heterotic theories journal, September 2009

Heterotic line bundle standard models journal, June 2012

Fibrations in CICY threefolds journal, October 2017

The mass Spectra, Hierarchy and Cosmology of b-l mssm Heterotic Compactifications journal, April 2011

The moduli space of heterotic line bundle models: a case study for the tetra-quadric journal, March 2014

A heterotic standard model with B − L symmetry and a stable proton journal, June 2014

Stability Walls in Heterotic Theories text, January 2009

The Mass Spectra, Hierarchy and Cosmology of B-L MSSM Heterotic Compactifications text, January 2010

The Moduli Space of Heterotic Line Bundle Models: a Case Study for the Tetra-Quadric text, January 2013

A Heterotic Standard Model with B-L Symmetry and a Stable Proton text, January 2014

Fibrations in CICY Threefolds text, January 2017

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

Vacuum configurations for superstrings
journal, January 1985

On the low-energy limit of superstring theories
journal, April 1986

Low-energy effective action for the superstring
journal, August 1986

Model-independent analysis of soft terms in effective supergravity and in string theory
journal, June 1993

On effective field theories describing (2, 2) vacua of the heterotic string
journal, January 1990

Exactly solvable (0,2) supersymmetric string vacua with GUT gauge groups
journal, November 1995

A three-generation superstring model
journal, December 1986

Superstring models with SU(5) and SO(10) unifying groups
journal, September 1986

Couplings in the heterotic superconformal three generation model
journal, October 1989

A heterotic standard model
journal, July 2005

The exact MSSM spectrum from string theory
journal, May 2006

Tri-linear couplings in an heterotic minimal supersymmetric Standard Model
journal, June 2006

Strong coupling expansion of Calabi-Yau compactification
journal, July 1996

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

Universe as a domain wall
journal, March 1999

Nonstandard embedding and five-branes in heterotic M theory
journal, April 1999

Heterotic M-theory in five dimensions
journal, July 1999

Kähler cone substructure
journal, January 1998

Stability of the minimal heterotic standard model bundle
journal, June 2006

Stabilizing moduli with a positive cosmological constant in heterotic M-theory
journal, July 2006

Heterotic standard model moduli
journal, January 2006

Vector Bundle Moduli and Small Instanton Transitions
journal, June 2002

Fayet-Iliopoulos terms in string theory
journal, January 1987

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

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

Heterotic anomaly cancellation in five dimensions
journal, January 2000

Loop-corrected compactifications of the heterotic string with line bundles
journal, June 2005

Some three generation (0,2) Calabi-Yau models
journal, April 1995

Target space duality for (0,2) compactifications
journal, March 1998

Chirality Change in String Theory
journal, June 2004

Heterotic GUT and Standard Model vacua from simply connected Calabi–Yau manifolds
journal, September 2006

Heterotic compactification, an algorithmic approach
journal, July 2007

Monad bundles in heterotic string compactifications
journal, July 2008

On the existence of hermitian-yang-mills connections in stable vector bundles
journal, January 1986

A note on our previous paper: On the existence of Hermitian Yang–Mills connections in stable vector bundles
journal, July 1989

Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
journal, January 1985

Moduli dependent spectra of heterotic compactifications
journal, September 2004

The Particle Spectrum of Heterotic Compactifications
journal, December 2004

The spectra of heterotic standard model vacua
journal, June 2005

Group theory for unified model building
journal, December 1981

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

Stability walls in heterotic theories
journal, September 2009

Heterotic line bundle standard models
journal, June 2012

Fibrations in CICY threefolds
journal, October 2017

The mass Spectra, Hierarchy and Cosmology of b-l mssm Heterotic Compactifications
journal, April 2011

The moduli space of heterotic line bundle models: a case study for the tetra-quadric
journal, March 2014

A heterotic standard model with B − L symmetry and a stable proton
journal, June 2014

Stability Walls in Heterotic Theories
text, January 2009

The Mass Spectra, Hierarchy and Cosmology of B-L MSSM Heterotic Compactifications
text, January 2010

The Moduli Space of Heterotic Line Bundle Models: a Case Study for the Tetra-Quadric
text, January 2013

A Heterotic Standard Model with B-L Symmetry and a Stable Proton
text, January 2014

Fibrations in CICY Threefolds
text, January 2017

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