Anti-de-Sitter vacua require fermionic brane charges

TL;DR

The paper demonstrates that incorporating fermionic brane charges into super-AdS algebras is necessary for consistency, supported by their presence in matrix models and supermembranes, suggesting a revised algebraic structure.

Contribution

It introduces the need for fermionic brane charges in super-AdS algebras and shows their presence in relevant models, extending the algebraic framework for brane theories.

Findings

Fermionic brane charges are present in matrix models.

Supermembrane in pp-wave backgrounds includes fermionic charges.

Modified super-AdS algebra accounts for fermionic brane charges.

Abstract

We argue that a modification of the super-AdS algebras which accounts for the presence of D-branes requires not only the inclusion of bosonic brane charges, but also the inclusion of new fermionic ones. We show that such fermionic brane charges are indeed present in the matrix model and the supermembrane in the pp-wave limit of the corresponding backgrounds. We briefly comment on an AdS version of Sezgin's M-algebra inspired by this observation.