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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:
 [1];  [2];  [3];  [2]
  1. Univ. of Western Australia, Crawley, WA (Australia). School of Physics and Astronomy
  2. Univ. of Oxford (United Kingdom). Rudolf Peierls Centre for Theoretical Physics
  3. 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. doi: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. doi: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 = {2017},
month = {10}
}

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Cited by: 3 works
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Figures / Tables:

Figure 1 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 » quotient manifold.« less

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