Derived brackets in bosonic string worldsheet sigma-model

TL;DR

This paper explores the bosonic string worldsheet theory using the BV formalism, revealing the derived Poisson structure and clarifying the holomorphic factorization of string amplitudes.

Contribution

It explicitly describes the derived Poisson structure in the bosonic string worldsheet theory within the BV formalism, providing new insights into the mathematical structure of string amplitudes.

Findings

Derived Poisson structure elucidated in the string worldsheet theory

Clarification of the holomorphic factorization mechanism

Application of BV formalism to string theory

Abstract

We study the worldsheet theory of bosonic string from the point of view of the BV formalism. We explicitly describe the derived Poisson structure which arizes when we expand the Master Action near a Lagrangian submanifold. The BV formalism allows us to clarify the mechanism of holomorphic factorization of string amplitudes.