Hitchin systems, N = 2 gauge theories and W-gravity

By G. Bonelli, A. Tanzini. 2009

148 citations recorded by the source corpus.

Abstract We propose some arguments supporting an M-theory derivation of the duality recently discovered by Alday, Gaiotto and Tachikawa between two-dimensional conformal field theories and N = 2 superconformal gauge theories in four dimensions. We find that A N − 1 Toda field theory is the simplest two-dimensional conformal field theory quantizing the moduli of N M5-branes wrapped on a Riemann surface. This leads us to identify chiral operators of the N = 2 gauge theories with integrated W-algebra currents. As a check of this correspondence we study some relevant OPE's obtaining that Nekrasov's partition function satisfies W-geometry constraints.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/14d91bbb017eac86673c64fff33e62cb2cd790c7

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In Astronomy and Astrophysics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

The Quiver Matrix Model and 2d-4d Conformal Connection (2009, background): “For recent discussion on this point in the light of the AGT conjecture, see [14, 28, 35] and references therein.”
S-duality and 2d topological QFT (2009, background): “of the 4d theory. A striking correspondence between the Nekrasov’s instanton partition function [4] of the 4d theory and Liouville ﬁeld theory on Σ has been conjectured in [5] and further explored in [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17]. Relations to string/M theory have been discussed in [1”
Affine SL(2) Conformal Blocks from 4d Gauge Theories (2010, background): “Relation to the Hitchin system was also mentioned in this connection in [40].”