Heterotic instanton superpotentials from complete intersection Calabi-Yau manifolds

Journal of High Energy Physics

卷:2017

Burt Ovrut¹  Andre Lukas²  Fabian Ruehle²  Evgeny Buchbinder³ 

[1] Department of Physics and Astronomy, University of Pennsylvania;

[2] Rudolf Peierls Centre for Theoretical Physics, University of Oxford;

[3] School of Physics and Astrophysics, The University of Western Australia;

关键词: Flux compactifications;    Superstring Vacua;    Superstrings and Heterotic Strings;   

DOI  :  10.1007/JHEP10(2017)032

来源: DOAJ

【 摘 要 】

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 ℙ1 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.

【 授权许可】

Unknown