Generalized IIB supergravity from exceptional field theory

TL;DR

This paper derives the generalized IIB supergravity equations from exceptional field theory, revealing their duality covariant structure and connection to T-duality and non-isometric backgrounds.

Contribution

It demonstrates how generalized IIB supergravity equations naturally arise within exceptional field theory using a Scherk-Schwarz ansatz.

Findings

Generalized IIB supergravity equations are obtained from exceptional field theory.

The formulation respects duality covariance and the section constraint.

Connections to T-duality and non-isometric backgrounds are clarified.

Abstract

The background underlying the $\eta$-deformed $AdS_5\times S^5$ sigma-model is known to satisfy a generalization of the IIB supergravity equations. Their solutions are related by T-duality to solutions of type IIA supergravity with non-isometric linear dilaton. We show how the generalized IIB supergravity equations can be naturally obtained from exceptional field theory. Within this manifestly duality covariant formulation of maximal supergravity, the generalized IIB supergravity equations emerge upon imposing on the fields a simple Scherk-Schwarz ansatz which respects the section constraint.