Three-Graviton Amplitude in Berkovits-Vafa-Witten Variables

TL;DR

This paper calculates the three-graviton scattering amplitude in Type IIB superstring theory using a novel six-dimensional supersymmetric formalism, analyzing both flat and curved backgrounds.

Contribution

It introduces a method to compute superstring amplitudes in six-dimensional variables, extending previous approaches to include curved backgrounds like AdS3xS3xK3.

Findings

Computed three-graviton amplitude in flat space R6xK3

Extended calculations to curved AdS3xS3xK3 background with flux

Demonstrated the applicability of Berkovits-Vafa-Witten variables in diverse geometries

Abstract

We compute the three-graviton tree amplitude in Type IIB superstring theory compactified to six dimensions using the manifestly (6d) supersymmetric Berkovits-Vafa-Witten worldsheet variables. We consider two cases of background geometry: the flat space example R6xK3, and the curved example AdS3xS3xK3 with Ramond flux, and compute the correlation functions in the bulk.