On gauge-fixed superbrane actions in AdS superbackgrounds

TL;DR

This paper develops a coset space approach to construct superbrane actions in AdS x S backgrounds, simplifying fermionic dependence and addressing gauge fixing issues for kappa-symmetry and worldvolume diffeomorphisms.

Contribution

It introduces a polynomial fermionic dependence in supervielbeins and superconnections, and discusses gauge fixing methods compatible with static brane solutions.

Findings

Polynomial fermionic dependence up to sixth power in Grassmann coordinates.

Gauge fixing reduces fermionic dependence to fourth power.

Addresses subtleties in gauge fixing of kappa-symmetry and worldvolume diffeomorphisms.

Abstract

To construct actions for describing superbranes propagating in AdS x S superbackgrounds we propose a coset space realization of these superbackgrounds which results in a short polynomial fermionic dependence (up to the sixth power in Grassmann coordinates) of target superspace supervielbeins and superconnections. Gauge fixing kappa-symmetry in a way compatible with a static brane solution further reduces the fermionic dependence down to the fourth power. Subtleties of consistent gauge fixing worldvolume diffeomorphisms and kappa-symmetry of the superbrane actions are discussed.