2d dualities from 4d

Abstract

We find new $\mathcal{N}=(2,2)$ and $\mathcal{N}=(0,2)$ dualities through the twisted compactifications of 4d supersymmetric theories on $S^2$. Our findings include dualities for both $\mathcal{N}=(2,2)$ and $\mathcal{N}=(0,2)$ non-Abelian gauge theories, as well as $\mathcal{N}=(0,2)$ Gauge/Landau-Ginzburg duality.

32 pages + appendices, 20 Figures, 6 Tables; v2 Major revision by expanding Section 3 with more (0,2) dualities and trialities; v3 Minor revision by correcting superpotentials of some theories and by adding more explanations