Super M-brane actions in adS_4 x S^7 and adS_7 x S^4
Piet Claus

TL;DR
This paper derives the complete super M-brane actions in specific AdS backgrounds using supergravity constraints, providing an alternative to supercoset methods and discussing gauge simplifications.
Contribution
It presents a new derivation of super M-brane actions in AdS spaces using supergravity constraints, avoiding supercoset techniques.
Findings
Complete super M-brane actions derived to all orders in superspace.
Agreement with supercoset-based constructions confirmed.
Discussion on simplifying actions via kappa-gauge choices.
Abstract
The world-volume action of the M2 brane and the M5-brane in an adS_4 x S^7 and a adS_7 x S^4 background is derived to all orders in anticommuting superspace coordinates. Contrary to recent constructions of super p-brane actions relying on supercoset methods, we only use 11 dimensional supergravity torsion and curvature constraints. Complete agreement between the two methods is found. The simplification of the actions by choosing a suitable kappa-gauge is discussed.
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