Date-Time : Apr. 27 (Thu), 4:30pm
Place : R1029
Speaker : Aditya Bawane
Institute : SISSA
Title : AGT correspondence for Unoriented and Boundary Liouville theory.
Abstract : The AGT correspondence relates the partition function of certain 4-dimensional N = 2 gauge theories (with SU(2)^n gauge groups) to amplitudes for a 2-dimensional CFT called Liouville theory. This correspondence has been investigated in detail in the case of oriented Liouville theory with no boundary components. In this talk (based on an upcoming paper with S. Benvenuti, G. Bonelli, M. Nouman Muteeb and A. Tanzini) some new results that extend this correspondence to the case of the Liouville theory on unoriented Riemann surfaces and surfaces with boundaries are presented. In particular, we show that partition function of SU(2) gauge theory with two fundamental ypermultiplets on RP^4 agrees with Liouville amplitude of the twice-punctured RP^2, and that partition function of SU(2) gauge theory with two fundamental hypermultiplets on HS^4 (four-dimensional hemisphere) agrees with Liouville amplitude of the twice-punctured disk. Some preliminary results on FZZT boundary conditions and gauge theory duals of annulus amplitudes are also discussed.