Kappa-symmetry for coincident D-branes

TL;DR

This paper develops a kappa-symmetric action for multiple coincident D-branes, extending the Green-Schwarz formalism to include non-abelian degrees of freedom with classical fermionic variables.

Contribution

It introduces a new kappa-symmetric action for coincident D-branes using Bernstein-Leites integration, handling non-abelian fermionic variables in a classical approximation.

Findings

The action maintains kappa-symmetry in the non-abelian case.

All symmetries except kappa are manifest in the formulation.

The proof of kappa-symmetry closely follows the single-brane case.

Abstract

A kappa-symmetric action for coincident D-branes is presented. It is valid in the approximation that the additional fermionic variables, used to incorporate the non-abelian degrees of freedom, are treated classically. The action is written as a Bernstein-Leites integral on the supermanifold obtained from the bosonic worldvolume by adjoining the extra fermions. The integrand is a very simple extension of the usual Green-Schwarz action for a single brane; all symmetries, except for kappa, are manifest, and the proof of kappa-symmetry is very similar to the abelian case.