Batalin-Vilkovisky gauge-fixing of a chiral two-form in six dimensions

TL;DR

This paper applies the Batalin-Vilkovisky formalism to gauge-fix a chiral two-form in six dimensions, providing a systematic approach to handle its local symmetries.

Contribution

It introduces a novel gauge-fixing procedure for a chiral two-form in six dimensions using the BV formalism, extending previous methods.

Findings

Successfully gauge-fixed the chiral two-form using two different methods.

Provided explicit extended actions satisfying the classical master equation.

Enhanced understanding of gauge-fixing in higher-dimensional chiral theories.

Abstract

We perform the gauge-fixing of the theory of a chiral two-form boson in six dimensions starting from the action given by Pasti, Sorokin and Tonin. We use the Batalin-Vilkovisky formalism, introducing antifields and writing down an extended action satisfying the classical master equation. Then we gauge-fix the three local symmetries of the extended action in two different ways.