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AGT on the S-duality wall

2010/09/30 by Kazuo Hosomichi, Sungjay Lee, Jaemo Park · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Domain wall (magnetism) #Gauge (firearms) #Gauge theory #M-theory #Noncommutative and Quantum Gravity Theories #Partition function (quantum field theory) #Quantum Chromodynamics and Particle Interactions #Supersymmetric gauge theory #Torus #hep-th

paper · pdf · doi:10.1007/jhep12(2010)079

published as JHEP 1012:079,2010 · 14 pages, 3 figures. v2: Revised the analysis in sections 3.3 and 4. Notes and references added. Version to appear in JHEP

openalex publication_date 2010/12/01 · arxiv created 2010/12/23 · arxiv updated 2011/01/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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 GL. 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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