Deriving all p-brane superalgebras via integrability

TL;DR

This paper extends previous work to derive a unified, compact expression for all p-brane superalgebras in superstring theory, based on the integrability of supersymmetry transformations.

Contribution

It provides a general formula for p-brane superalgebras for all p, expanding beyond the specific cases previously studied.

Findings

Derived superalgebras for p=2 and 3.

Presented a compact expression valid for all p.

Enhanced understanding of supersymmetry integrability in brane theories.

Abstract

In previous work we demonstrated that the enlarged super-Poincare algebras which underlie p-brane and D-brane actions in superstring theory can be directly determined based on the integrability of supersymmetry transformations assigned to fields appearing in Wess-Zumino terms. In that work we derived p-brane superalgebras for p = 2 and 3. Here we extend our previous results and give a compact expression for superalgebras for all valid p.