Partonic description of a supersymmetric p-brane

TL;DR

This paper develops a supersymmetric extension of a partonic p-brane model, introducing worldline supersymmetry and deriving a spacetime supersymmetric Green-Schwarz action, advancing the understanding of supersymmetric p-branes.

Contribution

It constructs a worldline supersymmetric action for p-branes using Filippov-Lie algebra gauge symmetry, overcoming previous no-go theorems, and derives a spacetime supersymmetric Green-Schwarz extension.

Findings

Constructed a worldline supersymmetric p-brane action.

Derived a spacetime supersymmetric Green-Schwarz extension.

Circumvented no-go theorems for p>1 supersymmetric p-branes.

Abstract

We consider supersymmetric extensions of a recently proposed partonic description of a bosonic p-brane which reformulates the Nambu-Goto action as an interacting multi-particle action with Filippov-Lie algebra gauge symmetry. We construct a worldline supersymmetric action by postulating, among others, a p-form fermion. Demanding a local worldline supersymmetry rather than the full worldvolume supersymmetry, we circumvent a known no-go theorem against the construction of a Ramond-Neveu-Schwarz supersymmetric action for a p-brane of p>1. We also derive a spacetime supersymmetric Green-Schwarz extension from the preexisting kappa-symmetric action.