TY - JOUR
T1 - Hitchin systems, N=2 gauge theories and W-gravity
JF - Phys. Lett. B 691 (2010) 111-115
Y1 - 2010
A1 - Giulio Bonelli
A1 - Alessandro Tanzini
AB - 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 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.
UR - http://hdl.handle.net/1963/3831
U1 - 496
U2 - Physics
U3 - Elementary Particle Theory
ER -