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Physics  1999 

The AdS/CFT correspondence and Spectrum Generating Algebras

DOI: 10.1088/1126-6708/1999/07/025

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We list the spectrum generating algebras for string theory and M-theory compactified on various backgrounds of the form $AdS_{d+1} \times S^n$. 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.


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