T-duality in Ramond-Ramond backgrounds

TL;DR

This paper derives T-duality rules for Ramond-Ramond backgrounds using pure spinor formalism, providing a non-perturbative proof of their equivalence in string theory.

Contribution

It introduces an efficient world-sheet path integral method to derive T-duality rules for all target space couplings in Ramond-Ramond backgrounds.

Findings

Derived T-duality rules for Ramond-Ramond backgrounds.

Proved non-perturbative equivalence of T-dual backgrounds.

Applicable to all orders in string coupling.

Abstract

Using the pure spinor formalism on the world-sheet, we derive the T-duality rules for all target space couplings in an efficient manner. The world-sheet path integral derivation is a proof of the equivalence of the T-dual Ramond-Ramond backgrounds which is valid non-perturbatively in the string length over the curvature radius and to all orders in perturbation theory in the string coupling.