String Field Equations From Generalized Sigma Model II

TL;DR

This paper develops an improved method to derive string field equations by imposing conformal invariance on a generalized sigma model, ensuring background independence and covariance, applicable to free and interacting string systems.

Contribution

It introduces an enhanced approach for deriving string field equations that guarantees background independence and covariance, extending previous methods.

Findings

Derived free string equations using the new method

Obtained interacting equations for graviton-dilaton system

Ensured covariance under non-local coordinate transformations

Abstract

We improve and extend a method introduced in an earlier paper for deriving string field equations. The idea is to impose conformal invariance on a generalized sigma model, using a background field method that ensures covariance under very general non-local coordinate transformations. The method is used to derive the free string equations, as well as the interacting equations for the graviton-dilaton system. The full interacting string equations derived by this method should be manifestly background independent.