Anti-field Formalism and Non-Abelian Duality

TL;DR

This paper explores the application of the Batalin-Vilkovisky formalism to handle the additional reducible symmetry arising in non-Abelian duality of two-dimensional sigma models, revealing new insights into the ghost sector's effects.

Contribution

It introduces a novel approach using BV formalism to manage reducible symmetries in non-Abelian duality, providing deeper understanding of the ghost sector's role.

Findings

The BV formalism effectively handles the reducible symmetry.

The ghost sector significantly influences non-Abelian duality.

New insights into the structure of dual models are obtained.

Abstract

The act of implementing non-Abelian duality in two dimensional sigma models results unavoidably in an additional reducible symmetry. The Batalin-Vilkovisky formalism is employed to handle this new symmetry. Valuable lessons are learnt here with respect to non-Abelian duality. We emphasise, in particular, the effects of the ghost sector corresponding to this symmetry on non-Abelian duality.