Simplicities of VOAs Associated to Jordan Algebras of Type B and Character Formulas for Simple Quotients
Abstract
In ths paper we study the VOA VJ,r constructed by Ashihara and Miyamoto, We construct simple quotients of VJ,r,r∈Z≠ 0 explicitly using dual-pair type constructions. We also compute the character formula of the simple quotients when r=-2n,n≥ 1.
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