(0,4) dualities

We study a class of two-dimensional $$ mathcal{n}=left(0,;4right) $$ quiver gauge theories that flow to superconformal field theories. we find dualities for the superconformal field theories similar to the 4d $$ mathcal{n}=2 $$ theories of class $$ mathcal{s} $$ , labelled by a riemann surface $$ mathcal{c} $$ . the dual descriptions arise from various pair-of-pants decompositions, that involve an analog of the t n theory. especially, we find the superconformal indices of such theories can be written in terms of a topological field theory on $$ mathcal{c} $$ . we interpret this class of scfts as the ones coming from compactifying 6d $$ mathcal{n}=left(2,;0right) $$ theory on $$ mathbb{c}{mathrm{mathbb{p}}}^1times mathcal{c} $$ . moreover, some new dualities of (0, 2) and (2, 2) theories are also discussed.