Super p-Brane Theories and New Spacetime Superalgebras

TL;DR

This paper develops a geometric formulation of super p-brane theories using new superalgebras, making the Wess--Zumino term manifestly supersymmetric and generalizing previous string theory reformulations.

Contribution

It introduces a geometric approach to super p-brane theories with a new class of superalgebras, extending prior work on superstring reformulations.

Findings

Constructed supercurrents using supergroup manifolds.

Formulated a supersymmetric Wess--Zumino term of order (p+1).

Generalized superalgebras underlying differential superalgebras.

Abstract

We present a geometric formulation of super $p$--brane theories in which the Wess--Zumino term is $(p+1)$--th order in the supersymmetric currents, and hence is manifestly supersymmetric. The currents are constructed using a supergroup manifold corresponding to a generalization of a superalgebra which we found sometime ago. Our results generalize Siegel's analogous reformulation of the Green--Schwarz superstring. The new superalgebras we construct underly the free differential superalgebras introduced by de Azc\'arraga and Townsend a few years ago.