A Characterization of Vertex Operator Algebra $${L(\frac{1}{2},0)\otimes L(\frac{1}{2},0)}$$
نویسندگان
چکیده
منابع مشابه
The radical of a vertex operator algebra
Each v ∈ V has a vertex operator Y (v, z) = ∑ n∈Z vnz −n−1 attached to it, where vn ∈ EndV. For the conformal vector ω we write Y (ω, z) = ∑ n∈Z L(n)z . If v is homogeneous of weight k, that is v ∈ Vk, then one knows that vn : Vm → Vm+k−n−1 and in particular the zero mode o(v) = vwtv−1 induces a linear operator on each Vm. We extend the “o” notation linearly to V, so that in general o(v) is the...
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It is shown that any simple, rational and C2-cofinite vertex operator algebra whose weight 1 subspace is zero, the dimension of weight 2 subspace is greater than or equal to 2 and with central charge c = 1, is isomorphic to L(12 , 0) ⊗ L( 1 2 , 0). 2000MSC:17B69
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We study fusion rings for degenerate minimal models (p = q) for N = 0, N = 1 and N = 2 (super)conformal algebras. In the first part we consider a family of modules for the Virasoro vertex operator algebra L(1, 0), and show that a fusion ring of the family is isomorphic to a Grothendieck ring Rep(sl(2,C)). In the second part, we used similar methods for the family of modules for N = 1 Neveu Schw...
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In this article, we show that a framed vertex operator algebra V satisfying the conditions: (1) V is holomorphic (i.e, V is the only irreducible V -module); (2) V is of rank 24; and (3) V1 = 0; is isomorphic to the moonshine vertex operator algebra V \ constructed by Frenkel-Lepowsky-Meurman [12].
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2009
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-009-0964-4