The fake monster superalgebra

Details The fake monster superalgebra The fake monster superalgebra

1999-05-19

arxiv.org/abs/math/9905113v1

Mathematics

Quantum Algebra

40 pages, latex2e

Scientific paper

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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