On gauge-fixed superbrane actions in AdS superbackgrounds

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.

LaTeX file, 10 pages. Minor corrections, version to appear in PLB

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• Lorentz harmonics and superfield action. D=10, N=1 superstring
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• Matrix Quantum Mechanics for Supermembrane on AdS_{7} x S^{4}