Closset, Cyril and Cremonesi, Stefano and Park, Daniel S. (2015) 'The equivariant A-twist and gauged linear sigma models on the two-sphere.', Journal of high energy physics., 2015 (06). 076.
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.
| Item Type: | Article |
|---|---|
| Full text: | (VoR) Version of Record Available under License - Creative Commons Attribution. Download PDF (2149Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.1007/JHEP06(2015)076 |
| Publisher 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. |
| Date accepted: | 19 May 2015 |
| Date deposited: | 29 March 2017 |
| Date of first online publication: | 12 June 2015 |
| Date first made open access: | No date available |
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