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The fake monster superalgebra

Nils R. Scheithauer
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Abstract

We show that the physical states of a 10 dimensional superstring moving on a torus form a generalized Kac-Moody superalgebra. This gives the first explicit realizations of these algebras. For a special torus the denominator function of this algebra is an automorphic form so that we can determine the simple roots. We call this algebra the fake monster superalgebra.

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BibTeXRIS

Nils R. Scheithauer. 1999-05-19. The fake monster superalgebra. https://arxiv.org/abs/math/9905113

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