Abstract
Two-dimensional N = 1 supersymmetric Yang-Mills theory is formulated in superspace, to examine the Ward identities for super Kac-Moody algebras on super Riemann surfaces of genus g (⩾ 2) in the path-integral formalism. To derive Green kernels, we use the theory of automorphic functions on super-Riemann surfaces in the Schottky parametrization. The Ward identities are experssed in terms of the Poincaré theta series.
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