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A natural construction of Borcherds' Fake Baby Monster Lie Algebra

Gerald Hoehn·Nils R. Scheithauer
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Abstract

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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BibTeXRIS

Gerald Hoehn, Nils R. Scheithauer. 2003-12-04. A natural construction of Borcherds' Fake Baby Monster Lie Algebra. https://arxiv.org/abs/math/0312106

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