Automorphisms, Non-linear Realizations and Branes

TL;DR

This paper employs non-linear realization theory and an extended automorphism group to derive M-theory brane dynamics, linking Goldstone fields to worldvolume gauge fields and connecting to superembedding methods.

Contribution

It introduces the use of an enlarged automorphism group in non-linear realizations to derive brane dynamics and relate Goldstone fields to gauge fields in M theory.

Findings

Derived brane dynamics using automorphism groups

Connected Goldstone fields to worldvolume gauge fields

Linked non-linear realization approach to superembedding

Abstract

The theory of non-linear realizations is used to derive the dynamics of the branes of M theory. A crucial step in this procedure is to use the enlarged automorphism group of the supersymmetry algebra recently introduced. The field strengths of the worldvolume gauge fields arise as some of the Goldstone fields associated with this automorphism group. The relationship to the superembedding approach is given.