Towards a manifestly SL(2,Z)-covariant action for the type IIB (p,q) super-five-branes

TL;DR

This paper develops a covariant and kappa-symmetric action for type IIB (p,q) super-five-branes, expanding perturbatively in world-volume fields to ensure SL(2,Z) symmetry and polynomial form.

Contribution

It introduces the first manifestly SL(2,Z)-covariant, polynomial, kappa-symmetric action for type IIB (p,q) five-branes, constructed to fourth order in world-volume fields.

Findings

Successfully constructed the action to fourth order in fields.

Ensured SL(2,Z) covariance and kappa-symmetry.

Provided a framework for further non-perturbative analysis.

Abstract

We determine a manifestly SL(2,Z)-covariant kappa-symmetric action for the type IIB (p,q) five-branes as a perturbative expansion in the world-volume field strengths within the framework where the brane tension is generated by a world-volume field. In this formulation the Lagrangian is expected to be polynomial; we construct the kappa-invariant action to fourth order in the world-volume field strengths.