TY - JOUR
T1 - Generalized matrix models and AGT correspondence at all genera
JF - JHEP, Volume 2011, Issue 7, 2011, Article number055
Y1 - 2011
A1 - Giulio Bonelli
A1 - Kazunobu Maruyoshi
A1 - Alessandro Tanzini
A1 - Futoshi Yagib
AB - We study generalized matrix models corresponding to n-point Virasoro\r\nconformal blocks on Riemann surfaces with arbitrary genus g. Upon AGT\r\ncorrespondence, these describe four dimensional N=2 SU(2)^{n+3g-3} gauge\r\ntheories with generalized quiver diagrams. We obtain the generalized matrix\r\nmodels from the perturbative evaluation of the Liouville correlation functions\r\nand verify the consistency of the description with respect to degenerations of\r\nthe Riemann surface. Moreover, we derive the Seiberg-Witten curve for the N=2\r\ngauge theory as the spectral curve of the generalized matrix model, thus\r\nproviding a check of AGT correspondence at all genera.
PB - SISSA
UR - http://hdl.handle.net/1963/6568
N1 - This version is published in : Journal of High Energy Physics, Volume 2011, Issue 7, 2011, Article number055
U1 - 6530
U2 - Mathematics
U4 - 1
ER -