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The equivariant A-twist and gauged linear sigma models on the two-sphere

Closset, Cyril; Cremonesi, Stefano; Park, Daniel S.

The equivariant A-twist and gauged linear sigma models on the two-sphere Thumbnail


Authors

Cyril Closset

Daniel S. Park



Abstract

We study two-dimensional N=(2,2)N=(2,2) supersymmetric gauged linear sigma models (GLSM) on the Ω-deformed sphere, SΩ2, which is a one-parameter deformation of the A-twisted sphere. We provide an exact formula for the SΩ2 supersymmetric correlation functions using supersymmetric localization. The contribution of each instanton sector is given in terms of a Jeffrey-Kirwan residue on the Coulomb branch. In the limit of vanishing Ω-deformation, the localization formula greatly simplifies the computation of A-twisted correlation functions, and leads to new results for non-abelian theories. We discuss a number of examples and comment on the ϵΩ-deformation of the quantum cohomology relations. Finally, we present a complementary Higgs branch localization scheme in the special case of abelian gauge groups.

Citation

Closset, C., Cremonesi, S., & Park, D. S. (2015). The equivariant A-twist and gauged linear sigma models on the two-sphere. Journal of High Energy Physics, 2015(06), Article 076. https://doi.org/10.1007/jhep06%282015%29076

Journal Article Type Article
Acceptance Date May 19, 2015
Online Publication Date Jun 12, 2015
Publication Date Jun 12, 2015
Deposit Date Feb 2, 2017
Publicly Available Date Mar 29, 2017
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2015
Issue 06
Article Number 076
DOI https://doi.org/10.1007/jhep06%282015%29076
Related Public URLs https://arxiv.org/abs/1504.06308

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
Open Access, © The Author(s) 2015. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.





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