Gauged sigma models and exceptional dressing cosets

TL;DR

This paper extends Poisson-Lie T-duality to U-duality using exceptional algebra structures, proposing gauged brane actions and introducing exceptional dressing cosets, connecting to non-Abelian T-duality.

Contribution

It introduces the concept of exceptional dressing cosets within U-duality, constructing gauged actions for branes using the Exceptional Drinfel'd Algebra and relating to known dualities.

Findings

Gauged actions reduce to standard brane actions on reduced backgrounds.

Proposed an alternative definition of exceptional dressing cosets.

Reproduced a known non-Abelian T-duality example in U-duality framework.

Abstract

The Poisson-Lie (PL) T-duality is a generalized T-duality based on the Lie algebra of the Drinfel'd double. In particular, when we consider the PL T-duality of a coset space, the dual space is found to be a generalized coset space, which is called the dressing coset. In this paper, we investigate an extension of the dressing cosets to the U-duality setup. We propose the gauged actions for various branes in M-theory and type IIB theory, where the generalized metric is constructed by using the Exceptional Drinfel'd Algebra (EDA) and the gauge algebra is a certain isotropic subalgebra of the EDA. By eliminating the gauge fields, the gauged action reduces to the standard brane action on a certain reduced background, which we call the exceptional dressing coset. We also propose an alternative definition of the exceptional dressing cosets based on Sfetsos's approach and reproduce a known example of non-Abelian T-duality in the U-duality-covariant formulation.