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:
-
- 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:
- 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.
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
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.
@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}
}
Web of Science
Figures / Tables:
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Works referencing / citing this record:
Non-vanishing heterotic superpotentials on elliptic fibrations
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Figures / Tables found in this record: