Self-dual supersymmetric Yang-Mills theory generates two-dimensional supersymmetric WZNW models

Abstract

We show that recently formulated four-dimensional self-dual supersymmetric Yang-Mills theory, which is consistent background for open N = 2 superstring, generates two-dimensional N = (1, 1), N = (1, 0) and N = (2, 0) supersymmetric gauge Wess-Zumino-Novikov-Witten σ-models on coset manifolds G/H, after appropriate dimensional reductions. This is supporting evidence for the conjecture that the self-dual supersymmetric Yang-Mills theory will generate lower-dimensional supersymmetric integrable models after dimensional reductions.