Super fivebranes near the boundary of AdS7×S4 Original Research Article

We determine, to the first order in the radius of anti-de-Sitter, the realisation of the OSp(6,2|2) superconformal algebra on vector fields. We then calculate, to this order, the superspace metric describing the background of AdS7×S4. 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 AdS7.