(0,4) dualities

Abstract

Abstract: We study a class of two-dimensional (Formula presented.) quiver gauge theories that flow to superconformal field theories. We find dualities for the superconformal field theories similar to the 4d (Formula presented.) theories of class (Formula presented.) , labelled by a Riemann surface (Formula presented.). The dual descriptions arise from various pair-of-pants decompositions, that involve an analog of the TN theory. Especially, we find the superconformal indices of such theories can be written in terms of a topological field theory on (Formula presented.). We interpret this class of SCFTs as the ones coming from compactifying 6d (Formula presented.) theory on (Formula presented.). Moreover, some new dualities of (0, 2) and (2, 2) theories are also discussed.