Superalgebras from D-brane actions

TL;DR

This paper investigates the algebraic structures arising from D-brane actions, revealing anomalous terms that modify supertranslation algebras and deriving associated topological charge spectra for various branes.

Contribution

It introduces a cocycle-based method to derive topological charge algebras from D-brane actions, extending the understanding of superalgebra modifications.

Findings

Derived spectra include known algebras enabling extended superspace actions

Identified anomalous terms that modify supertranslation algebra

Applied formalism to (p,q)-strings and D-membrane

Abstract

The Noether charge algebras of D-brane actions contain two anomalous terms which modify the standard supertranslation algebra. We use a cocycle approach to derive associated spectra of topological charge algebras. The formalism is applied to $(p,q)$-strings and the D-membrane. The resulting spectra contain known algebras which allow the construction of extended superspace actions.