Linearizable quantum supersymmetric sigma models.

Abstract

Euclidean quantization of superfields with values in a Hermitian manifold and defined on a super-Riemann surface is discussed. It is shown that stochastic differential equations relating an interacting sigma superfield to the free one become linear if the field takes values in a generalized Poincare upper half-plane. A renormalized perturbative solution is obtained. Fields with values in a Riemann surface are discussed in brief.