A Characetrization of Vertex Operator Algebra L(1/2,0)\otimes L(1/2,0)

Abstract

It is shown that any simple, rational and C_2-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(1/2,0)\otimes L(1/2,0).

20 pages, minor changes and one reference added

References in corpus (5)

• Modular invariance of trace functions in orbifold theory
• Framed vertex operator algebras, codes and the moonshine module
• Local conformal nets arising from framed vertex operator algebras
• Rational Vertex Operator Algebras and the Effective Central Charge
• Fusion rules for the continuum sectors of the Virasoro algebra with c=1

Cited by in corpus (10)

• Congruence Property In Conformal Field Theory
• The extensions of $L_{s{l}_2}(k,0)$ and preunitary vertex operator algebra with central charges $c<1$
• A characterization of vertex operator algebras $V_{Z\alpha }^{+}$: I
• Quantum Dimensions and Quantum Galois Theory
• Application of vertex algebras to the structure theory of certain representations over the Virasoro algebra
• Representations of the vertex operator algebra V_{L_{2}}^{A_{4}}
• Fusion rules for the vertex operator algebra $V_{L_2}^{A_4}$
• Some exceptional extensions of Virasoro vertex operator algebras
• The classification of vertex operator algebras of OZ-type generated by Ising vectors of $\sigma$-type
• The classification of extensions of $L_{s{l}_3}(k,0)$