Cyril Closset
The equivariant A-twist and gauged linear sigma models on the two-sphere
Closset, Cyril; Cremonesi, Stefano; Park, Daniel S.
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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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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