General solution of classical master equation for reducible gauge theories

TL;DR

This paper presents a general method for solving the classical master equation in reducible gauge theories by introducing a new coordinate system and applying an iterative solution approach.

Contribution

It introduces a novel coordinate transformation and iterative method to solve the classical master equation for reducible gauge theories, expanding the analytical tools available.

Findings

Provides a systematic solution to the classical master equation for reducible gauge theories.

Develops a new coordinate system simplifying the equation.

Demonstrates the iterative method's effectiveness in obtaining solutions.

Abstract

We give the general solution to the classical master equation (S,S)=0 for reducible gauge theories. To this aim, we construct a new coordinate system in the extended configuration space and transform the equation by changing variables. Then it can be solved by an iterative method.