Isometries in anti-de Sitter and conformal superspaces

Citation
P. Claus et al., Isometries in anti-de Sitter and conformal superspaces, J HIGH EN P, 2000(7), 2000, pp. NIL_1086-NIL_1105
Citations number
22
Categorie Soggetti
Physics
Journal title
JOURNAL OF HIGH ENERGY PHYSICS
ISSN journal
10298479 → ACNP
Volume
2000
Issue
7
Year of publication
2000
Pages
NIL_1086 - NIL_1105
Database
ISI
SICI code
1029-8479(200007)2000:7<NIL_1086:IIASAC>2.0.ZU;2-4
Abstract
We derive explicit forms for the superisometries of a wide class of superco set manifolds, including those with fermionic generators in the stability g roup. We apply the results to construct the action of SU(2; 2\4) on three s upercoset manifolds: (10\32)-dimensional AdS(5) x S-5 superspace, (4\16)-di mensional conformal superspace, and a novel (10\16)-dimensional conformal s uperspace. 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 decoup le from the superisometries.