An SL(2,R)-covariant, first order, k-supersymmetric action for the D5-brane

TL;DR

This paper develops a new SL(2,R)-covariant, first order, kappa-supersymmetric action for D5-branes, extending previous D3-brane formalism and providing a dual formulation of type IIB supergravity.

Contribution

It introduces a novel SL(2,R) covariant formalism for D5-branes and formulates the dual supergravity algebra with 6-form potentials.

Findings

Extended the D3-brane formalism to D5-branes

Provided a dual formulation of type IIB supergravity with 6-form potentials

Achieved a manifestly SL(2,R) covariant D5-brane action

Abstract

The new first order, rheonomic, kappa-supersymmetric formalism recently introduced by us for the world-volume action of the D3-brane is extended to the case of D5-branes. This extension requires the dual formulation of the Free Differential Algebra of type IIB supergravity in terms of 6-form gauge potentials which was so far missing and is given here. Furthermore relying on our new approach we are able to write the D5-world volume action in a manifestly SL(2,R) covariant form. This is important in order to solve the outstanding problem of finding the appropriate boundary actions of D3-branes on smooth ALE manifolds with twisted fields. The application of our results to this problem is however postponed to a subsequent publication.