A natural construction of Borcherds' Fake Baby Monster Lie Algebra

Details A natural construction of Borcherds' Fake Baby Monster Lie Algebra A natural construction of Borcherds' Fake Baby Monster Lie Algebra

2003-12-04

arxiv.org/abs/math/0312106v1

American Journal of Mathematics 125 (2003), 655-667

Mathematics

Quantum Algebra

13 pages, LaTeX

Scientific paper

We use a Z_2-orbifold of the vertex operator algebra associated to the
Niemeier lattice with root lattice A_3^8 and the no-ghost theorem of string
theory to construct a generalized Kac-Moody algebra. Borcherds' theory of
automorphic products allows us to determine the simple roots and identify the
algebra with the fake baby monster Lie algebra.

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