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 × 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. © 2014 The Author(s).

Higgs branch localization in three dimensions / Benini, Francesco; Peelaers, W.. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2014:5(2014), pp. 1-47. [10.1007/JHEP05(2014)030]

Higgs branch localization in three dimensions

Benini, Francesco;
2014-01-01

Abstract

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 × 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. © 2014 The Author(s).
2014
2014
5
1
47
030
10.1007/JHEP05(2014)030
https://arxiv.org/abs/1312.6078
https://link.springer.com/article/10.1007%2FJHEP05%282014%29030
Benini, Francesco; Peelaers, W.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/32817
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