BPS states carrying fermionic brane charges

TL;DR

This paper explores fermionic brane charges in superalgebras, interpreting them as fermionic brane charges with nonzero values under specific boundary conditions, and examines their relation to fermionic modes and dilatino fields.

Contribution

It introduces a new interpretation of fermionic central charges as fermionic brane charges and analyzes their nonzero values in nontrivial boundary conditions.

Findings

Fermionic central charges are interpreted as fermionic brane charges.

Nonzero fermionic brane charges occur under specific boundary conditions.

Fermionic modes and dilatino fields couple with fermionic brane currents.

Abstract

The Green-Siegel central extension of superalgebras for BPS branes is studied. In these cases commutators of usual bosonic brane charges only with the broken supersymmetry charges allow this central extension. We present an interpretation of these fermionic central charges as fermionic brane charges, and show that they take nonzero values for a nontrivial fermionic boundary condition. Such fermionic coordinates solutions are determined by equations of motion in a suitable gauge condition which manifests Nambu-Goldstone fermionic modes as well as bosonic modes in the static gauge. We also show that some modes of dilatino fields couple with the fermionic brane currents.