IIB Supergravity Revisited

TL;DR

This paper revisits IIB supergravity, demonstrating the inclusion of new ten-form potentials within an SU(1,1)-covariant framework, aligning with $E_{11}$ symmetry and detailing supersymmetry and gauge transformations.

Contribution

It introduces a doublet and quadruplet of ten-form potentials in IIB supergravity, consistent with $E_{11}$ symmetry, and provides comprehensive supersymmetry and gauge transformation formulations.

Findings

Introduction of ten-form potentials in supergravity

Consistency with $E_{11}$ symmetry

Complete supersymmetry and gauge transformation details

Abstract

We show in the SU(1,1)-covariant formulation that IIB supergravity allows the introduction of a doublet and a quadruplet of ten-form potentials. The Ramond-Ramond ten-form potential which is associated with the SO(32) Type I superstring is in the quadruplet. Our results are consistent with a recently proposed $E_{11}$ symmetry underlying string theory. For the reader's convenience we present the full supersymmetry and gauge transformations of {\it all} fields both in the manifestly SU(1,1) covariant Einstein frame and in the real U(1) gauge fixed string frame.