BRST - BFV analysis of anomalies in bosonic string theory interacting with background gravitational field

TL;DR

This paper performs a detailed BRST-BFV analysis of anomalies in bosonic string theory interacting with a background gravitational field, deriving an exact equation for the anomaly operator and exploring its solutions.

Contribution

It introduces an exact equation for the anomaly operator's symbol and analyzes its structure within the context of string theory coupled to background fields.

Findings

Derived an exact equation for the anomaly operator.

Analyzed the structure of solutions to the anomaly equation.

Provided insights into anomalies in string theory with background fields.

Abstract

The general BRST-BFV analysis of anomaly in the string theory coupled to background fields is carried out. An exact equation for c-valued symbol of anomaly operator is found and structure of its solutions is studied.