New 2d $$ \mathcal{N} $$ = (0, 2) dualities from four dimensions

Abstract

Abstract We propose some new infra-red dualities for 2d$$ \mathcal{N} $$ N = (0, 2) theories. The first one relates a USp(2N) gauge theory with one antisymmetric chiral, four fundamental chirals and N Fermi singlets to a Landau-Ginzburg model of N Fermi and 6N chiral fields with cubic interactions. The second one relates SU(2) linear quiver gauge theories of arbitrary length N − 1 with the addition of N Fermi singlets for any non-negative integer N. They can be understood as a generalization of the duality between an SU(2) gauge theory with four fundamental chirals and a Landau-Ginzburg model of one Fermi and six chirals with a cubic interaction. We derive these dualities from already known 4d$$ \mathcal{N} $$ N = 1 dualities by compactifications on $$ {\mathbbm{S}}^2 $$ S 2 with suitable topological twists and we further test them by matching anomalies and elliptic genera. We also show how to derive them by iterative applications of some more fundamental dualities, in analogy with similar derivations for parent dualities in three and four dimensions.