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
• Electronic ISSN: 1029-8479
• 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
• Public URL: https://durham-repository.worktribe.com/output/1366108
• Related Public URLs: https://arxiv.org/abs/1504.06308