A characterization of vertex operator algebras $V_{Z\alpha }^{+}$: I

Abstract

A characterization of vertex operator algebra V_{Zα}^+ with (α,α)/2 not being a perfect square is given in terms of dimensions of homogeneous subspaces of small weights. This result contributes to the classification of rational vertex operator algebras of central charge 1.

30 pages

References in corpus (2)

• Quadratic spaces and holomorphic framed vertex operator algebras of central charge 24
• A Characetrization of Vertex Operator Algebra L(1/2,0)\otimes L(1/2,0)

Cited by in corpus (4)

• The extensions of $L_{s{l}_2}(k,0)$ and preunitary vertex operator algebra with central charges $c<1$
• Quantum Dimensions and Quantum Galois Theory
• Representations of the vertex operator algebra V_{L_{2}}^{A_{4}}
• Characterizations of the exceptional vertex operator algebras of central charge $1$: I