期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 5, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP05(2014)030
关键词
Supersymmetric gauge theory; Solitons Monopoles and Instantons; Chern-Simons Theories; Nonperturbative Effects
资金
- DOE [DE-FG02-92ER-40697]
- NSF [PHY-0969919]
- DOE [DE-FG02-92ER-40697]
- NSF [PHY-0969919]
- Direct For Mathematical & Physical Scien
- Division Of Physics [1316617] Funding Source: National Science Foundation
We show that the supersymmetric partition function of three-dimensional N = 2 R-symmetric Chern-Simons-matter theories on the squashed S-3 and on S-2 x S-1 can be computed with the so-called Higgs branch localization method, alternative to the more standard Coulomb branch localization. For theories that could be completely Higgsed by Fayet-Iliopoulos terms, the path integral is dominated by BPS vortex strings sitting at two circles in the geometry. In this way, the partition function directly takes the form of a sum, over a finite number of points on the classical Coulomb branch, of a vortex-string times an antivortex-string partition functions.
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