Super Fivebranes near the boundary of $AdS_7\times S^4$

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 $OSp(6,2|2)$ superconformal algebra on vector fields. We then calculate, to this order, the superspace metric describing the background of $AdS_7\times S^4$. 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 $AdS_7$.