Partition functions of N=1 gauge theories on S-2 x R-epsilon(2) and duality

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TitrePartition functions of N=1 gauge theories on S-2 x R-epsilon(2) and duality
Type de publicationJournal Article
Year of Publication2020
AuteursKimura T, Nian J, Zhao P
JournalINTERNATIONAL JOURNAL OF MODERN PHYSICS A
Volume35
Pagination2050207
Date PublishedNOV 30
Type of ArticleArticle
ISSN0217-751X
Mots-clésN=1 supersymmetry, Nekrasov partition function, partition function, Seiberg duality, supersymmetric gauge theory, supersymmetric localization, Supersymmetry, Vortex
Résumé

We compute the partition functions of N = 1 gauge theories on S-2 x R-epsilon(2) using supersymmetric localization. The path integral reduces to a sum over vortices at the poles of S-2 and at the origin of R-epsilon(2). The exact partition functions allow us to test Seiberg duality beyond the supersymmetric index. We propose the N = 1 partition functions on the Omega-background, and show that the Nekrasov partition functions can be recovered from these building blocks.
DOI10.1142/S0217751X20502073