Linear lattice gauge theory with Nicolai mapping

Abstract

We construct a lattice gauge theory with linear gauge variables and fermions, which has an explicit Nicolai mapping and is invariant under a supersymmetric translation θ→θ+ε. It contains a new interaction which removes the pathology of Weingarten’s model for Nambu-Goto random surfaces. Fermions generate curvature interactions. Strong-coupling expansion and supersymmetry breaking are discussed.