AGT on the S-duality Wall
High Energy Physics - Theory
2011-01-04 v2
Abstract
Three-dimensional gauge theory T[G] arises on a domain wall between four-dimensional N=4 SYM theories with the gauge groups G and its S-dual G^L. We argue that the N=2^* mass deformation of the bulk theory induces a mass-deformation of the theory T[G] on the wall. The partition functions of the theory T[SU(2)] and its mass-deformation on the three-sphere are shown to coincide with the transformation coefficient of Liouville one-point conformal block on torus under the S-duality.
Cite
@article{arxiv.1009.0340,
title = {AGT on the S-duality Wall},
author = {Kazuo Hosomichi and Sungjay Lee and Jaemo Park},
journal= {arXiv preprint arXiv:1009.0340},
year = {2011}
}
Comments
14 pages, 3 figures. v2: Revised the analysis in sections 3.3 and 4. Notes and references added. Version to appear in JHEP