Heterotic instanton superpotentials from complete intersection Calabi-Yau manifolds

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

doi:10.1007/jhep10(2017)032

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 Pennsylvania, Philadelphia (United States)
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.

View Accepted Manuscript (DOE)

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

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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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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Figure 1(p. 11)

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