M-theory duality and BPS-extended supergravity

TL;DR

This paper explores how extending supergravity with BPS states and U-duality considerations can lead to theories in higher dimensions with maximal supersymmetry but reduced Lorentz symmetry, exemplified in nine dimensions.

Contribution

It introduces a framework for constructing higher-dimensional theories from supergravity coupled with BPS states respecting U-duality.

Findings

Demonstrates partial Lorentz invariance in extended supergravity models.

Shows consistency of BPS state extensions under U-duality.

Provides insights into theories beyond eleven dimensions.

Abstract

We discuss toroidal compactifications of maximal supergravity coupled to an extended configuration of BPS states which transform consistently under the U-duality group. Under certain conditions this leads to theories that live in more than eleven spacetime dimensions, with maximal supersymmetry but only partial Lorentz invariance. We demonstrate certain features of this construction for the case of nine-dimensional N=2 supergravity.