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arxiv: 1009.5153 · v2 · pith:LK5LMWHInew · submitted 2010-09-27 · 🧮 math.QA

A generalized Kac-Moody algebra of rank 14

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keywords algebravertexcentralchargegeneralizedkac-moodyrankbrst-cohomology
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We construct a vertex algebra of central charge 26 from a lattice orbifold vertex operator algebra of central charge 12. The BRST-cohomology group of this vertex algebra is a new generalized Kac-Moody algebra of rank 14. We determine its root space multiplicities and a set of simple roots.

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