E_{11}, ten forms and supergravity

TL;DR

This paper extends the non-linear realisation of E_{11} to include ten forms relevant to IIB supergravity, confirming their presence through supersymmetry algebra closure.

Contribution

It introduces ten forms into the E_{11} framework for IIB supergravity, aligning algebraic structures with supersymmetry results.

Findings

Successful inclusion of ten forms in E_{11} non-linear realisation

Agreement with supersymmetry algebra closure results

Enhanced understanding of E_{11} structure in supergravity

Abstract

We extend the previously given non-linear realisation of E_{11} for the decomposition appropriate to IIB supergravity to include the ten forms that were known to be present in the adjoint representation. We find precise agreement with the results on ten forms found by closing the IIB supersymmetry algebra.