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Published October 6, 1999 | Submitted
Journal Article Open

The AdS/CFT correspondence and spectrum generating algebras

Berglund, Per
Gimon, Eric G.
Minic, Djordje
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Abstract

We list the spectrum generating algebras for string theory and M-theory compactified on various backgrounds of the form AdS_(d+1) × S^n. We identify the representations of these algebras which make up the classical supergravity spectra and argue for the presence of these spectrum generating algebras in the classical string/M-theory. We alsogt discuss the role of the spectrum generating algebras on the conformal field theory side.

Additional Information

© 1999 IOP Publishing. Received: July 7, 1999, Accepted: July 28, 1999. We would like to thank P. Aschieri, I. Bars, J. deBoer, G. Chalmers, D. Gross, M. Günaydin, T. Hübsch, K. Pilch, J. Polchinski and S. Ramgoolam for interesting discussions. One of us (D.M.) would specially like to thank M. Günaydin for illuminating discussions in the very early stages of this work. The work of P. Berglund is supported in part by the Natural Science Foundation under Grant No. PHY94-07194. The work of E. Gimon is supported in part by the U.S. Department of Energy under Grant no. DE-FG03-92ER40701. The work of D. Minic is supported in part by the U.S. Department of Energy under Grant no. DE-FG03-84ER40168. P.B. would like to thank Argonne, Caltech and LBL, Berkeley for their hospitality while some of this work was carried out. E.G. would also like to thank the Harvard theory group for their hospitality while this work was in progress. D.M. would like to thank ITP, Santa Barbara and Caltech for providing stimulating environments for research.

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