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

Journal Article · Wed Oct 04 00:00:00 EDT 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep10(2017)032· OSTI ID:1505205

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

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.

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

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0007901

OSTI ID:: 1505205

Journal Information:: Journal of High Energy Physics (Online), Vol. 2017, Issue 10; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 7 works

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References (54)

Nonperturbative superpotentials from membrane instantons in heterotic M-theory Lima, Eduardo; Ovrut, Burt; Park, Jaemo Nuclear Physics B, Vol. 614, Issue 1-2 https://doi.org/10.1016/S0550-3213(01)00404-7	journal	October 2001
Stability walls in heterotic theories Anderson, Lara B.; Gray, James; Lukas, Andre Journal of High Energy Physics, Vol. 2009, Issue 09 https://doi.org/10.1088/1126-6708/2009/09/026	journal	September 2009
Worldsheet instantons, torsion curves and non-perturbative superpotentials Braun, Volker; Kreuzer, Maximilian; Ovrut, Burt A. Physics Letters B, Vol. 649, Issue 4 https://doi.org/10.1016/j.physletb.2007.03.066	journal	June 2007
World-sheet corrections via D-instantons Witten, Edward Journal of High Energy Physics, Vol. 2000, Issue 02 https://doi.org/10.1088/1126-6708/2000/02/030	journal	February 2000
Gauged Linear Sigma Models for toroidal orbifold resolutions Blaszczyk, Michael; Nibbelink, Stefan Groot; Ruehle, Fabian Journal of High Energy Physics, Vol. 2012, Issue 5 https://doi.org/10.1007/JHEP05(2012)053	journal	May 2012
Superpotentials for vector bundle moduli Buchbinder, Evgeny I.; Donagi, Ron; Ovrut, Burt A. Nuclear Physics B, Vol. 653, Issue 3 https://doi.org/10.1016/S0550-3213(02)01093-3	journal	March 2003
Chiral rings do not suffice: n=(2,2) theories with nonzero fundamental group Aspinwall, Paul S.; Morrison, David R. Physics Letters B, Vol. 334, Issue 1-2 https://doi.org/10.1016/0370-2693(94)90594-0	journal	August 1994
The exact MSSM spectrum from string theory Braun, Volker; He, Yang-Hui; Ovrut, Burt A. Journal of High Energy Physics, Vol. 2006, Issue 05 https://doi.org/10.1088/1126-6708/2006/05/043	journal	May 2006
Heterotic line bundle standard models Anderson, Lara B.; Gray, James; Lukas, Andre Journal of High Energy Physics, Vol. 2012, Issue 6 https://doi.org/10.1007/JHEP06(2012)113	journal	June 2012
Aspects of (2, 0) string compactifications Distler, Jacques; Greene, Brian Nuclear Physics B, Vol. 304 https://doi.org/10.1016/0550-3213(88)90619-0	journal	January 1988
Exploring positive monad bundles and a new heterotic standard model Anderson, Lara B.; Gray, James; He, Yang-Hui Journal of High Energy Physics, Vol. 2010, Issue 2 https://doi.org/10.1007/JHEP02(2010)054	journal	February 2010
Calabi-Yau compactifications of non-supersymmetric heterotic string theory Blaszczyk, Michael; Nibbelink, Stefan Groot; Loukas, Orestis Journal of High Energy Physics, Vol. 2015, Issue 10 https://doi.org/10.1007/JHEP10(2015)166	journal	October 2015
A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory Candelas, Philip; De La Ossa, Xenia C.; Green, Paul S. Nuclear Physics B, Vol. 359, Issue 1 https://doi.org/10.1016/0550-3213(91)90292-6	journal	July 1991
Residues and world-sheet instantons Beasley, Chris; Witten, Edward Journal of High Energy Physics, Vol. 2003, Issue 10 https://doi.org/10.1088/1126-6708/2003/10/065	journal	October 2003
On free quotients of complete intersection Calabi-Yau manifolds Braun, Volker Journal of High Energy Physics, Vol. 2011, Issue 4 https://doi.org/10.1007/JHEP04(2011)005	journal	April 2011
Nonperturbative effects on the string world sheet Dine, M.; Seiberg, N.; Wen, X. -G. Nuclear Physics B, Vol. 278, Issue 4 https://doi.org/10.1016/0550-3213(86)90418-9	journal	December 1986
On the four-dimensional effective action of strongly coupled heterotic string theory Lukas, André; Ovrut, Burt A.; Waldram, Daniel Nuclear Physics B, Vol. 532, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)00463-5	journal	October 1998
Heterotic compactification, an algorithmic approach Anderson, Lara B.; He, Yang-Hui; Lukas, André Journal of High Energy Physics, Vol. 2007, Issue 07 https://doi.org/10.1088/1126-6708/2007/07/049	journal	July 2007
Vector Bundle Moduli Superpotentials in Heterotic Superstrings and M-Theory Buchbinder, Evgeny I.; Donagi, Ron; Ovrut, Burt A. Journal of High Energy Physics, Vol. 2002, Issue 07 https://doi.org/10.1088/1126-6708/2002/07/066	journal	July 2002
Nonperturbative effects on the string world sheet (II) Dine, M.; Seiberg, N.; Wen, X. -G. Nuclear Physics B, Vol. 289 https://doi.org/10.1016/0550-3213(87)90383-X	journal	January 1987
Criteria for conformal invariance of (0, 2) models Silverstein, Eva; Witten, Edward Nuclear Physics B, Vol. 444, Issue 1-2 https://doi.org/10.1016/0550-3213(95)00186-V	journal	June 1995
A new method for finding vacua in string phenomenology Gray, James; He, Yang-Hui; Ilderton, Anton Journal of High Energy Physics, Vol. 2007, Issue 07 https://doi.org/10.1088/1126-6708/2007/07/023	journal	July 2007
Schoen manifold with line bundles as resolved magnetized orbifolds Nibbelink, Stefan Groot; Vaudrevange, Patrick K. S. Journal of High Energy Physics, Vol. 2013, Issue 3 https://doi.org/10.1007/JHEP03(2013)142	journal	March 2013
Complete intersection Calabi-Yau manifolds Candelas, P.; Dale, A. M.; Lütken, C. A. Nuclear Physics B, Vol. 298, Issue 3 https://doi.org/10.1016/0550-3213(88)90352-5	journal	March 1988
Non-perturbative superpotentials in string theory Witten, Edward Nuclear Physics B, Vol. 474, Issue 2 https://doi.org/10.1016/0550-3213(96)00283-0	journal	August 1996
Fivebranes, membranes and non-perturbative string theory Becker, Katrin; Becker, Melanie; Strorninger, Andrew Nuclear Physics B, Vol. 456, Issue 1-2 https://doi.org/10.1016/0550-3213(95)00487-1	journal	December 1995
Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces Hosono, S.; Klemm, A.; Thiesen, S. Communications in Mathematical Physics, Vol. 167, Issue 2 https://doi.org/10.1007/BF02100589	journal	February 1995
Heterotic models from vector bundles on toric Calabi-Yau manifolds He, Yang-Hui; Lee, Seung-Joo; Lukas, André Journal of High Energy Physics, Vol. 2010, Issue 5 https://doi.org/10.1007/JHEP05(2010)071	journal	May 2010
Stabilizing the complex structure in heterotic Calabi-Yau vacua Anderson, Lara B.; Gray, James; Lukas, Andre Journal of High Energy Physics, Vol. 2011, Issue 2 https://doi.org/10.1007/JHEP02(2011)088	journal	February 2011
Resurrecting (2,0) compactifications Distler, Jacques Physics Letters B, Vol. 188, Issue 4 https://doi.org/10.1016/0370-2693(87)91643-1	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 Groot Nibbelink, Stefan; Loukas, Orestis; Ruehle, Fabian Fortschritte der Physik, Vol. 63, Issue 9-10 https://doi.org/10.1002/prop.201500041	journal	September 2015
Hodge numbers for all CICY quotients Constantin, Andrei; Gray, James; Lukas, Andre Journal of High Energy Physics, Vol. 2017, Issue 1 https://doi.org/10.1007/JHEP01(2017)001	journal	January 2017
Monad bundles in heterotic string compactifications Anderson, Lara; He, Yang-Hui; Lukas, André Journal of High Energy Physics, Vol. 2008, Issue 07 https://doi.org/10.1088/1126-6708/2008/07/104	journal	July 2008
Schoen manifold with line bundles as resolved magnetized orbifolds Nibbelink, S. G.; Vaudrevange, P. K. S. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/phppubdb-26269	text	January 2013
Stability Walls in Heterotic Theories Anderson, Lara B.; Gray, James; Lukas, Andre arXiv https://doi.org/10.48550/arxiv.0905.1748	text	January 2009
Heterotic Models from Vector Bundles on Toric Calabi-Yau Manifolds He, Yang-Hui; Lee, Seung-Joo; Lukas, Andre arXiv https://doi.org/10.48550/arxiv.0911.0865	text	January 2009
Exploring Positive Monad Bundles And A New Heterotic Standard Model Anderson, Lara B.; Gray, James; He, Yang-Hui arXiv https://doi.org/10.48550/arxiv.0911.1569	text	January 2009
On Free Quotients of Complete Intersection Calabi-Yau Manifolds Braun, Volker arXiv https://doi.org/10.48550/arxiv.1003.3235	text	January 2010
Gauged Linear Sigma Models for toroidal orbifold resolutions Blaszczyk, Michael; Nibbelink, Stefan Groot; Ruehle, Fabian arXiv https://doi.org/10.48550/arxiv.1111.5852	text	January 2011
Schoen manifold with line bundles as resolved magnetized orbifolds Nibbelink, Stefan Groot; Vaudrevange, Patrick K. S. arXiv https://doi.org/10.48550/arxiv.1212.4033	preprint	January 2012
Hodge Numbers for All CICY Quotients Constantin, Andrei; Gray, James; Lukas, Andre arXiv https://doi.org/10.48550/arxiv.1607.01830	text	January 2016
Vector Bundle Moduli Superpotentials in Heterotic Superstrings and M-Theory Buchbinder, Evgeny I.; Donagi, Ron; Ovrut, Burt A. arXiv https://doi.org/10.48550/arxiv.hep-th/0206203	text	January 2002
Heterotic Compactification, An Algorithmic Approach Anderson, Lara B.; He, Yang-Hui; Lukas, Andre arXiv https://doi.org/10.48550/arxiv.hep-th/0702210	text	January 2007
Worldsheet Instantons, Torsion Curves, and Non-Perturbative Superpotentials Braun, Volker; Kreuzer, Maximilian; Ovrut, Burt A. arXiv https://doi.org/10.48550/arxiv.hep-th/0703134	text	January 2007
A New Method for Finding Vacua in String Phenomenology Gray, James; He, Yang-Hui; Ilderton, Anton arXiv https://doi.org/10.48550/arxiv.hep-th/0703249	text	January 2007
Mirror Symmetry, Mirror Map and Applications to Calabi-Yau Hypersurfaces Hosono, S.; Klemm, A.; Theisen, S. arXiv https://doi.org/10.48550/arxiv.hep-th/9308122	text	January 1993
Chiral Rings Do Not Suffice: N=(2,2) Theories with Nonzero Fundamental Group Aspinwall, P. S.; Morrison, D. R. arXiv https://doi.org/10.48550/arxiv.hep-th/9406032	text	January 1994
Criteria for Conformal Invariance of (0,2) Models Silverstein, Eva; Witten, Edward arXiv https://doi.org/10.48550/arxiv.hep-th/9503212	text	January 1995
Fivebranes, Membranes and Non-Perturbative String Theory Becker, Katrin; Becker, Melanie; Strominger, Andrew arXiv https://doi.org/10.48550/arxiv.hep-th/9507158	text	January 1995
Non-Perturbative Superpotentials In String Theory Witten, Edward arXiv https://doi.org/10.48550/arxiv.hep-th/9604030	text	January 1996
On the Four-Dimensional Effective Action of Strongly Coupled Heterotic String Theory Lukas, Andre; Ovrut, Burt A.; Waldram, Daniel arXiv https://doi.org/10.48550/arxiv.hep-th/9710208	text	January 1997
Non-vanishing superpotentials in heterotic string theory and discrete torsion Buchbinder, Evgeny I.; Ovrut, Burt A. Journal of High Energy Physics, Vol. 2017, Issue 1 https://doi.org/10.1007/jhep01(2017)038	journal	January 2017
(MS)SM-like models on smooth Calabi-Yau manifolds from all three heterotic string theories Nibbelink, Stefan Groot; Loukas, Orestis; Ruehle, Fabian arXiv https://doi.org/10.48550/arxiv.1507.07559	text	January 2015
Superpotentials for Vector Bundle Moduli Buchbinder, Evgeny I.; Donagi, Ron; Ovrut, Burt A. arXiv https://doi.org/10.48550/arxiv.hep-th/0205190	text	January 2002

Cited By (4)

Non-vanishing heterotic superpotentials on elliptic fibrations Buchbinder, Evgeny I.; Lin, Ling; Ovrut, Burt A. Journal of High Energy Physics, Vol. 2018, Issue 9 https://doi.org/10.1007/jhep09(2018)111	journal	September 2018
Fibrations in CICY threefolds Anderson, Lara B.; Gao, Xin; Gray, James Journal of High Energy Physics, Vol. 2017, Issue 10 https://doi.org/10.1007/jhep10(2017)077	journal	October 2017
Fibrations in CICY Threefolds Anderson, Lara B.; Gao, Xin; Gray, James arXiv https://doi.org/10.48550/arxiv.1708.07907	text	January 2017
Non-vanishing Heterotic Superpotentials on Elliptic Fibrations Buchbinder, Evgeny I.; Lin, Ling; Ovrut, Burt A. arXiv https://doi.org/10.48550/arxiv.1806.04669	text	January 2018

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