Abstract
Firstly, an improved normal ordered product is defined, which allows to write down concisely the derivative terms in operator product expansions. Secondly, it is shown that representations of chiral algebras always allow the construction of relatively local interpolating fields (parafields). If the grading of the representation is integral or half-integral, these fields become local.
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References
A.B. Zamolodchikov, Theor.Math.Phys. 65 (1986) 1205
LB. Frenkel, J. Lepowsky and A. Meurman, Proc.Natl.Acad.Sci. USA 81 (1984) 3256; Vertex Operator Algebras and the Monster, Academic Press, New York, to be published
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Nahm, W. (1990). Normal Ordered Products and Parafields in Conformal QFT2 . In: Chau, LL., Nahm, W. (eds) Differential Geometric Methods in Theoretical Physics. NATO ASI Series, vol 245. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-9148-7_31
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DOI: https://doi.org/10.1007/978-1-4684-9148-7_31
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-9150-0
Online ISBN: 978-1-4684-9148-7
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