Coincident (Super)-Dp-Branes of Codimension One

TL;DR

This paper develops a covariant worldvolume action for coincident Dp-branes of codimension one, extending it to include fermionic degrees of freedom and supersymmetry, revealing new algebraic structures and symmetry properties.

Contribution

It introduces a supersymmetric, covariant action for N coincident Dp-branes in codimension one, including fermions and analyzing the resulting supersymmetry algebra.

Findings

Generalized action includes fermionic degrees of freedom.

Supersymmetry algebra acquires a non-trivial central extension.

Discusses peculiar space-time symmetries of coincident Dp-branes.

Abstract

We consider properties of a covariant worldvolume action for a system of N coincident Dp-branes in D=(p+2) dimensional space-time (so called codimension one branes). In the case of N coincident D0-branes in D=2 we then find a generalization of this action to a model which includes fermionic degrees of freedom and is invariant under target-space supersymmetry and worldline kappa-symmetry. We find that the type IIA D=2 superalgebra generating the supersymmetry transformations of the ND0-brane system acquires a non-trivial "central extension" due to a nonlinear contribution of U(N) adjoint scalar fields. Peculiarities of space-time symmetries of coincident Dp-branes are discussed.