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- W154127810 abstract "Roughly speaking, the main theorem of this work says that a vertex operator algebra is equivalent to a projective linear realization of the moduli space equipped with the sewing operation of spheres with tubes. Thus if we have a vertex operator algebra, any identity in the moduli space will give a corresponding identity for the vertex operator algebra. In particular, the sewing identities we obtained in Section 2.2 should give corresponding identities for the vertex operator algebra. It turns out that logically we in fact have to prove these corresponding identities first. In this chapter, we prove these identities corresponding to the sewing identities for any representation of the Virasoro algebra. In the case that the representation is of positive energy, we obtain stronger results since in this case only one or two formal variable is needed, not infinitely many. We assume that the reader has some knowledge of universal enveloping algebras (see e.g. [J1])." @default.
- W154127810 created "2016-06-24" @default.
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- W154127810 date "1997-01-01" @default.
- W154127810 modified "2023-10-12" @default.
- W154127810 title "Realizations of the sewing identities" @default.
- W154127810 doi "https://doi.org/10.1007/978-1-4612-4276-5_5" @default.
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