String Theory Journal Club

T[U(N)] duality web: mirror symmetry and gauge/CFT correspondence

by Mr Anton Nedelin (Milano-Bicocca University)

Europe/Berlin
SR3 (DESY Hamburg)

SR3

DESY Hamburg

Description
In this talk I will review recently obtained correspondence between partition functions of 2d GLSM and certain correlators of Toda CFT. To illustrate this correspondence I will consider particular example: the partition function of 3d T[U(N)] theory. I will start by reviewing mirror self-duality of this class of theory and will briefly derive correspondence between its holomorphic blocks and Dotsenko-Fateev representation of the correlators in q-deformed Toda CFT. Finally I will show how upon the circle reduction 3d mirror symmetry reduces to correspondence between the partition function of certain 2d N =(2,2) quiver theory and Toda CFT correlators.