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arXiv · 1009.0340

AGT on the S-duality Wall

Kazuo Hosomichi·Sungjay Lee·Jaemo Park
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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.

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Kazuo Hosomichi, Sungjay Lee, Jaemo Park. 2010-12-23. AGT on the S-duality Wall. https://doi.org/10.1007/jhep12(2010)079

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