A characterization of vertex operator algebras $V_{Zα}^{+}$: I

Details A characterization of vertex operator algebras $V_{Zα}^{+}$: I A characterization of vertex operator algebras $V_{Zα}^{+}$: I

2011-10-09

arxiv.org/abs/1110.1882v1

Mathematics

Quantum Algebra

30 pages

Scientific paper

A characterization of vertex operator algebra V_{Z\alpha}^+ with
(\alpha,\alpha)/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.

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