The associative algebras of conformal field theory

Details The associative algebras of conformal field theory The associative algebras of conformal field theory

1998-11-27

arxiv.org/abs/hep-th/9811239v1

Lett.Math.Phys. 47 (1999) 379-383

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX (BibTeX), 6 pages, no figures

Scientific paper

Modulo the ideal generated by the derivative fields, the normal ordered product of holomorphic fields in two-dimensional conformal field theory yields a commutative and associative algebra. The zero mode algebra can be regarded as a deformation of the latter. Alternatively, it can be described as an associative quotient of the algebra given by a modified normal ordered product. We clarify the relation of these structures to Zhu's product and Zhu's algebra of the mathematical literature.

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