Isometries in anti-de Sitter and conformal superspaces

Abstract

We derive explicit forms for the superisometries of a wide class of supercoset manifolds, including those with fermionic generators in the stability group. We apply the results to construct the action of SU(2; 2\4) on three supercoset manifolds: (10\32)-dimensional AdS(5) x S-5 superspace, (4\16)-dimensional conformal superspace, and a novel (10\16)-dimensional conformal superspace. Using superembedding techniques, we show, to lowest non-trivial order in the fermions, that at the boundary of AdS(5), the superisometries of the AdS(5) x S-5 superspace reduce to the standard N = 4 superconformal transformations. In particular, half of the 32 fermionic coordinates decouple from the superisometries.