A Locally Supersymmetric Action for the Bosonic String

TL;DR

This paper constructs a local supersymmetric action for the bosonic string by coupling a specific superconformal background to N=1 supergravity, building on recent insights into the fermionic string's background.

Contribution

It introduces a novel local supersymmetric formulation of the bosonic string using supergravity coupling, expanding the theoretical framework.

Findings

Successfully couples superconformal system to supergravity

Provides a local supersymmetric action for the bosonic string

Enhances understanding of string backgrounds and symmetries

Abstract

Recently Berkovits and Vafa have shown that the bosonic string can be viewed as the fermionic string propagating in a particular background. Such a background is described by a somewhat unusual $N=1$ superconformal system. By coupling it to $N=1$ supergravity I construct a local supersymmetric action for the bosonic string.