Compactification on the Ω-background and the AGT correspondence

2012/05/31 by Junya Yagi
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Compactification (mathematics) #Cosmology and Gravitation Theories #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Theoretical physics #hep-th

paper · pdf · doi:10.1007/jhep09(2012)101

published as JHEP 09 (2012) 101 · 20 pages. v2: minor improvements. v3: published version. v4: minor correction

openalex publication_date 2012/09/01 · arxiv created 2013/05/07 · arxiv updated 2013/05/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The six-dimensional (2,0) theory formulated in the Ω-background gives rise to two-dimensional effective degrees of freedom. By compactifying the theory on the circle fibers of two cigar-like manifolds, we find that a natural candidate for the effective theory is a chiral gauged WZW model. The symmetry algebra of the model contains the W-algebra that appears on the two-dimensional side of the AGT correspondence. We show that the expectation values of its currents determine the Seiberg-Witten curve of the four-dimensional side.

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