Maximal D=2 supergravities from higher dimensions

TL;DR

This paper develops a detailed framework for consistent Kaluza-Klein truncations from 11D and type II supergravities to two-dimensional gauged maximal supergravities, using generalized Scherk-Schwarz reductions of E9 exceptional field theory.

Contribution

It provides a comprehensive method for deriving 2D gauged supergravities from higher dimensions, including the complete bosonic dynamics for those with geometric uplifts.

Findings

Unveiled the full bosonic dynamics of gauged maximal supergravities with geometric uplift.

Established a general framework for consistent Kaluza-Klein truncations in two dimensions.

Applied the method to reduce 11D supergravity on S^8×S^1 to SO(9) gauged supergravity.

Abstract

We develop in detail the general framework of consistent Kaluza-Klein truncations from D=11 and type II supergravities to gauged maximal supergravities in two dimensions. In particular, we unveil the complete bosonic dynamics of all gauged maximal supergravities that admit a geometric uplift. Our construction relies on generalised Scherk-Schwarz reductions of E$_9$ exceptional field theory. The application to the reduction of D=11 supergravity on $S^8\times S^1$ to SO(9) gauged supergravity is presented in a companion paper.