Massive Type IIA Supergravity and E10

TL;DR

This paper explores the E10 symmetry in massive type IIA supergravity, demonstrating that a non-linear sigma model on E10/K(E10) captures its bosonic and fermionic dynamics, unifying massless and massive theories.

Contribution

It identifies Romans' mass with a specific E10 generator, extending the E10 symmetry framework to include massive type IIA supergravity.

Findings

E10 symmetry encompasses massive IIA supergravity dynamics.

Romans' mass corresponds to a generator beyond traditional E10 analysis.

Unified description of massless and massive IIA supergravity within E10.

Abstract

In this talk we investigate the symmetry under E10 of Romans' massive type IIA supergravity. We show that the dynamics of a spinning particle in a non-linear sigma model on the coset space E10/K(E10) reproduces the bosonic and fermionic dynamics of massive IIA supergravity, in the standard truncation. In particular, we identify Romans' mass with a generator of E10 that is beyond the realm of the generators of E10 considered in the eleven-dimensional analysis, but using the same, underformed sigma model. As a consequence, this work provides a dynamical unification of the massless and massive versions of type IIA supergravitiy inside E10.