Dual fields and E_{11}

TL;DR

This paper explores how the infinite-dimensional algebra E_{11} encodes dual descriptions of eleven-dimensional supergravity's bosonic degrees of freedom, providing new insights into its algebraic structure and field interpretations.

Contribution

It demonstrates that the adjoint representation of E_{11} includes generators for all dual descriptions of supergravity's bosonic fields and offers interpretations for additional generators.

Findings

E_{11} contains generators for dual supergravity descriptions

Interpretation of fields associated with various generators

Insights into the algebraic structure of supergravity

Abstract

We show that the adjoint representation of E_{11} contains generators corresponding to the infinite possible dual descriptions of the bosonic on-shell degrees of freedom of eleven dimensional supergravity. We also give an interpretation for the fields corresponding to many of the other generators in the adjoint representation.