Consistent Kaluza-Klein truncations and two-dimensional gauged supergravity

TL;DR

This paper develops a unified framework for deriving scalar potentials in two-dimensional gauged supergravity via generalized Scherk-Schwarz reductions, revealing new AdS2 vacua and confirming the consistency of certain supergravity truncations.

Contribution

It provides the first general expression for scalar potentials in 2D gauged supergravities from E9 exceptional field theory and demonstrates the consistency of an 11D supergravity truncation on S8×S1.

Findings

Derived scalar potential expressions for 2D gauged supergravities.

Identified new AdS2 vacua in the theory.

Confirmed the consistency of the S8×S1 truncation to SO(9) supergravity.

Abstract

We consider generalized Scherk-Schwarz reductions of E$_9$ exceptional field theory to D=2 space-time dimensions and in particular construct the resulting scalar potential of all gauged supergravities that can be obtained in this way. This provides the first general expression for a multitude of theories with an interesting structure of vacua, covering potentially many new AdS$_2$ cases. As an application, we prove the consistency of the truncation of eleven-dimensional supergravity on $S^8\times S^1$ to SO(9) gauged maximal supergravity. Fluctuations around its supersymmetric SO(9)-invariant vacuum describe holographically the dynamics of interacting D0-branes.