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Factorisation of N = 2 theories on the squashed 3-sphere

Pasquetti, S (2012) Factorisation of N = 2 theories on the squashed 3-sphere J HIGH ENERGY PHYS.

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Abstract

Partition functions of N=2 theories on the squashed 3-sphere have been recently shown to localise to matrix integrals. By explicitly evaluating the matrix integral we show that abelian partition functions can be expressed as a sum of products of two blocks. We identify the first block with the partition function of the vortex theory, with equivariant parameter hbar=2 Pi i b^2, defined on R^2 x S_1 corresponding to the b->0 degeneration of the ellipsoid. The second block gives the partition function of the vortex theory with equivariant parameter hbar^L=2 Pi i/b^2, on the dual R^2 x S_1 corresponding to the 1/b ->0 degeneration. The ellipsoid partition appears to provide the hbar -> hbar^L modular invariant non-perturbative completion of the vortex theory.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Pasquetti, SUNSPECIFIEDUNSPECIFIED
Date : 24 April 2012
Related URLs :
Additional Information : © 2012. Published with a Creative Commons 4.0 Licence. The published version can be found here: http://dx.doi.org/10.1007/JHEP04(2012)120
Depositing User : Symplectic Elements
Date Deposited : 22 Jan 2016 12:35
Last Modified : 22 Jan 2016 12:40
URI: http://epubs.surrey.ac.uk/id/eprint/809361

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