Closed strings in Ramond-Ramond backgrounds

TL;DR

This paper derives a simplified form of the IIB Green-Schwarz superstring action in curved backgrounds with Ramond-Ramond fluxes, aiding the study of string dynamics and holographic duality.

Contribution

It presents a truncated quartic-order expression for the superstring action in Ramond-Ramond backgrounds, facilitating analysis of integrable string theories.

Findings

Simplified superstring action in Ramond-Ramond backgrounds

Insights into vacuum structure of the worldsheet theory

Tools for exploring holographic duality and integrability

Abstract

We write the IIB Green-Schwarz action in certain general classes of curved backgrounds threaded with Ramond-Ramond fluxes. The fixing of the kappa symmetry in the light-cone gauge and the use of supergravity Bianchi identities simplify the task. We find an expression that truncates to quartic order in the spacetime spinors and relays interesting information about the vacuum structure of the worldsheet theory. The results are particularly useful in exploring integrable string dynamics in the context of the holographic duality.