Constructions of vertex operator coalgebras via vertex operator algebras

Details Constructions of vertex operator coalgebras via vertex operator algebras Constructions of vertex operator coalgebras via vertex operator algebras

2004-06-02

arxiv.org/abs/math/0406035v1

Mathematics

Quantum Algebra

13 pages

Scientific paper

The notion of vertex operator coalgebra is presented which corresponds to the family of correlation functions of one string propagating in space-time splitting into n strings in conformal field theory. This notion is in some sense dual to the notion of vertex operator algebra. We prove that any vertex operator algebra equipped with a non-degenerate, Virasoro preserving, bilinear form gives rise to a corresponding vertex operator coalgebra.

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