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Isometries in anti-de Sitter and conformal superspaces

Claus, Piet and Rahmfeld, Joachim and Robins, Harlan and Tannenhauser, Jonathan and Zunger, Yonatan (2000) Isometries in anti-de Sitter and conformal superspaces. Journal of High Energy Physics, 2000 (7). Art. No. 047. ISSN 1126-6708. doi:10.1088/1126-6708/2000/07/047.

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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.

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Additional Information:Copyright © Institute of Physics and IOP Publishing Limited 2000. Received 17 July 2000, accepted for publication 24 July 2000. Published 4 September 2000. We have enjoyed useful discussions with Djordje Minic, Hirosi Ooguri and Dmitri Sorokin. We are particularly thankful to Renata Kallosh for comments and extensive collaboration during many stages of this work. J.R. was supported by the Caltech Discovery Fund and DE-FG03-92-ER40701. H.R. and J.T. are supported in part by NSF grant PHY-95-14797 and DOE grant DE-AC03-76SF00098. Y.Z. was partially supported by an NSF graduate research fellowship.
Subject Keywords:superstrings and heterotic strings; superstring vacua; AdS/CFT correspondance
Issue or Number:7
Record Number:CaltechAUTHORS:CLAjhep00
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2975
Deposited By: Tony Diaz
Deposited On:09 May 2006
Last Modified:08 Nov 2021 19:52

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