E10 and Gauged Maximal Supergravity

TL;DR

This paper compares the dynamics of three-dimensional gauged supergravity with an E10/K(E10) coset model, revealing agreements at low levels and discussing mismatches at higher levels.

Contribution

It demonstrates the natural emergence of the embedding tensor in the coset model and analyzes the agreement and mismatches between supergravity and the E10 model.

Findings

Complete agreement at lowest levels.

Mismatches appear at higher levels.

Embedding tensor arises as an integration constant.

Abstract

We compare the dynamics of maximal three-dimensional gauged supergravity in appropriate truncations with the equations of motion that follow from a one-dimensional E10/K(E10) coset model at the first few levels. The constant embedding tensor, which describes gauge deformations and also constitutes an M-theoretic degree of freedom beyond eleven-dimensional supergravity, arises naturally as an integration constant of the geodesic model. In a detailed analysis, we find complete agreement at the lowest levels. At higher levels there appear mismatches, as in previous studies. We discuss the origin of these mismatches.