BOSONIZED OPERATOR FORMALISM FOR FERMIONS WITH ODD SPIN STRUCTURES AND ANOMALY CALCULATION

Abstract

Bosonization of fermions with odd spin structures on an arbitrary genus Riemann surface is investigated by means of a covariant operator formalism based on the sewing techniques. A corollary of the Fay’s addition theorem is used to show the consistency of the formalism. The application to the hexagon gauge anomaly calculation in superstring theory is demonstrated. The surface term ambiguity associated with the insertion of picture-changing operator is analyzed in the operator formalism. The insertion point, which implies anomaly freedom, is identified as a repulsive fixed point in the Schottky parametrization.