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).File | Dimensione | Formato | |
---|---|---|---|
Higgs.pdf
accesso aperto
Descrizione: Open Access Journal
Tipologia:
Versione Editoriale (PDF)
Licenza:
Creative commons
Dimensione
935.58 kB
Formato
Adobe PDF
|
935.58 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.