Lattice subalgebras of strongly regular vertex operator algebras

Published 3 Oct 2011 in math.QA, math-ph, and math.MP | (1110.0544v1)

Abstract: We prove a sharpened version of a conjecture of Dong-Mason about lattice subalgebras of a strongly regular vertex operator algebra $V$, and give some applications. These include the existence of a canonical conformal subVOA $W\otimes G\otimes Z \subseteq V$, and a generalization of the theory of minimal models.

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Geoffrey Mason

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