IIB-Branes and New Spacetime Superalgebras

TL;DR

This paper classifies IIB branes using superalgebras, constructs superinvariant actions, and explores their algebraic structure and S-duality, revealing a twelve-dimensional superalgebra extension.

Contribution

It introduces a new geometric formulation of IIB branes based on supergroup manifolds and extends superalgebras to twelve dimensions.

Findings

Supercurrents derived from supergroup manifolds encode brane charges.

S-duality acts as transformations of supercurrents, generalizing SO(2) symmetry.

Superalgebra is extended to a twelve-dimensional framework.

Abstract

We provide a classification of the IIB D$p$- and NS$p$-branes in which the brane action exists due to a non-trivial class of the Chevalley-Eilenberg cohomology of free differential algebras. We then present a new geometric formulation of the IIB D$p$- and NS$p$-branes ($p\leq 5$) in which the manifestly superinvariant Wess-Zumino terms are constructed in terms of the supersymmetric currents. The supercurrents are obtained by using supergroup manifolds corresponding to the IIB-brane superalgebra, which is characterized by the generators of D3-, D5-, NS5- and KK5-branes in addition to the previously introduced generators of supertranslations, F- and D-strings. The charges of D1-, F1- and D3-branes are related to those of the M-algebra, but some charges of D5- and NS5-branes are not. The S-duality of the type-IIB theory is realized as transformations of the supercurrents generalizing the SO(2) R-symmetry of the superalgebra. We thus find that the superalgebra is lifted into twelve-dimensions with signature (11,1).