IIA Ten-forms and the Gauge Algebras of Maximal Supergravity Theories

TL;DR

This paper extends IIA supergravity with two 10-form potentials, revealing a new 9-brane and exploring the gauge algebra's relation to the conjectured $E_{11}$ symmetry in string/M-theory.

Contribution

It introduces two independent 10-form potentials in IIA supergravity and analyzes their impact on gauge algebra and symmetry structures.

Findings

Identification of a single BPS IIA 9-brane from 10-form potentials

Analysis of the gauge algebra with 10-form potentials in IIA and IIB supergravity

Connection between gauge algebra and the $E_{11}$ symmetry conjecture

Abstract

We show that IIA supergravity can be extended with two independent 10-form potentials. These give rise to a single BPS IIA 9-brane. We investigate the bosonic gauge algebra of both IIA and IIB supergravity in the presence of 10-form potentials and point out an intriguing relation with the symmetry algebra $E_{11}$, which has been conjectured to be the underlying symmetry of string theory/M-theory.