Strings in Nontrivial Gravitino and Ramond-Ramond Backgrounds

TL;DR

This paper explores how infinitesimal gravitino and Ramond-Ramond background fields deform the BRST operator in fermionic string theory while maintaining its nilpotency, revealing insights into string background interactions.

Contribution

It introduces a method to deform the BRST operator in fermionic strings that preserves its nilpotency, linking it to background spacetime fields.

Findings

Deformations correspond to turning on specific spacetime fields.

Nilpotency of the BRST operator is preserved under these deformations.

Provides a framework for understanding string interactions with background fields.

Abstract

In this paper we discuss deformations of the BRST operator of the fermionic string. These deformations preserve nilpotency of the BRST operator and correspond to turning on infinitesimal Gravitino and Ramond-Ramond spacetime fields.