B-RNS-GSS heterotic string in curved backgrounds

TL;DR

This paper extends the B-RNS-GSS formalism to describe heterotic superstrings in curved backgrounds, deriving a generalized action and BRST charge that imply supergravity and super-Yang-Mills equations of motion.

Contribution

It introduces a generalized formalism for heterotic superstrings in curved backgrounds, linking worldsheet superconformal symmetry to spacetime equations.

Findings

BRST charge holomorphicity implies supergravity equations

Generalized action consistent with heterotic string in curved space

BRST algebra reproduces known supergravity and super-Yang-Mills equations

Abstract

The recently established B-RNS-GSS formalism is extended for the description of the heterotic superstring in curved backgrounds. We propose a generalized action and BRST charge defined in the small Hilbert space with the standard form of an $\mathcal{N}=(1,0)$ worldsheet superconformal theory with superconformal generator $G$ and stress tensor $T$. We show that $\big\{G,G\big\}=-2T$ implies the D=10 N=1 supergravity and super-Yang-Mills equations of motion, as well as holomorphicity of the BRST charge.