The AdS/CFT correspondence and Spectrum Generating Algebras

Abstract

We list the spectrum generating algebras for string theory and M-theory compactified on various backgrounds of the form $Ad{S}_{d+1}\times S^n$. 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 also discuss the role of the spectrum generating algebras on the conformal field theory side.

17 pages, 4 Tables, harvmac

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