Brane dynamics, central charges and E_{11}

TL;DR

This paper explores how Goldstone bosons arise from central charges in supersymmetry, exemplifies this in Born-Infeld theory and M-theory branes, and conjectures an extension to E_{11} symmetry.

Contribution

It demonstrates the connection between Goldstone bosons and central charges and proposes an extension of brane dynamics to include E_{11} symmetry.

Findings

Goldstone bosons correspond to central charge generators.

Application to 4D Born-Infeld theory and M-theory branes.

Proposal that M-theory brane dynamics extend to E_{11} symmetry.

Abstract

We consider a theory in which supersymmetry is partially spontaneously broken and show that the dynamical fields in the same supersymmetric multiplet as the Goldstino are Goldstone bosons whose corresponding generators are central charges in the underlying supersymmetry algebra. We illustrate how this works for four dimensional Born-Infeld theory and five brane of M theory. We conjecture, with supporting arguments, that the dynamics of the branes of M theory can be extended so as to possess an E_{11} symmetry.