Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
Volume 35, Issue 33, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217751X20502073
Keywords
Supersymmetry; N=1 supersymmetry; supersymmetric gauge theory; supersymmetric localization; partition function; vortex; Seiberg duality; Nekrasov partition function
Categories
Funding
- U.S. Department of Energy [DE-SC0007859]
- Van Loo Postdoctoral Fellowship
- Keio Gijuku Academic Development Funds
- JSPS [JP15H05855, JP17K18090, JP17H06462]
- MEXT-Supported Program for the Strategic Research Foundation at Private Universities Topological Science [S1511006]
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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.
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