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 h = 2πib 2, defined on ℝ 2 × 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 h L = 2πi/b 2, on the dual ℝ 2 × S 1 corresponding to the 1/b → 0 degeneration. The ellipsoid partition appears to provide the h → h L modular invariant non-perturbative completion of the vortex theory. © SISSA 2012
Pasquetti, S. (2012). Factorisation of n = 2 theories on the squashed 3-sphere. JOURNAL OF HIGH ENERGY PHYSICS, 2012(4).
Citazione: | Pasquetti, S. (2012). Factorisation of n = 2 theories on the squashed 3-sphere. JOURNAL OF HIGH ENERGY PHYSICS, 2012(4). |
Tipo: | Articolo in rivista - Articolo scientifico |
Carattere della pubblicazione: | Scientifica |
Presenza di un coautore afferente ad Istituzioni straniere: | No |
Titolo: | Factorisation of n = 2 theories on the squashed 3-sphere |
Autori: | Pasquetti, S |
Autori: | PASQUETTI, SARA (Primo) |
Data di pubblicazione: | 2012 |
Lingua: | English |
Rivista: | JOURNAL OF HIGH ENERGY PHYSICS |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/JHEP04(2012)120 |
Appare nelle tipologie: | 01 - Articolo su rivista |