Super Fivebranes near the boundary of $AdS_7\times S^4$
C. Grojean, J. Mourad

TL;DR
This paper investigates the supersymmetric structure and dynamics of super fivebranes near the boundary of $AdS_7\times S^4$, providing first-order approximations of the superconformal algebra and background metric.
Contribution
It introduces a first-order analysis of the superconformal algebra and superspace metric for super fivebranes in $AdS_7\times S^4$, with a focus on boundary dynamics.
Findings
Realisation of $OSp(6,2|2)$ algebra on vector fields
Superspace metric for $AdS_7\times S^4$ background
Manifestly supersymmetric equations for fivebrane dynamics
Abstract
We determine, to the first order in the radius of Anti-de-Sitter, the realisation of the superconformal algebra on vector fields. We then calculate, to this order, the superspace metric describing the background of . The coordinates we work with are adapted to a 6+5 splitting of the eleven dimensional superspace. Finally, we deduce in a manifestly supersymmetric form the equations governing the dynamics of the fivebrane near the boundary of .
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