Worldvolume Supersymmetry

TL;DR

This paper develops a systematic method to relate local kappa-symmetry and spacetime supersymmetry to the global supersymmetry on a brane's worldvolume, and applies it to gauge-fix the M-5-brane, deriving the (0, 2) tensor supermultiplet in six dimensions.

Contribution

It introduces a set of rules for converting local kappa-symmetry and spacetime supersymmetry into worldvolume supersymmetry, and demonstrates their application by gauge-fixing the M-5-brane.

Findings

Established a gauge-fixing procedure for kappa-symmetry using Killing spinors.

Derived the (0, 2) tensor supermultiplet from the M-5-brane.

Provided a framework for quantizing brane actions with supersymmetry.

Abstract

A general set of rules is given how to convert a local kappa-symmetry of a brane action and space-time supersymmetry into the global supersymmetry of the worldvolume. A Killing spinor adapted gauge for quantization of kappa-symmetry is defined for this purpose. As an application of these rules we perform the gauge-fixing of the M-5-brane to get the theory of the (0, 2) tensor supermultiplet in d=6.