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N-point matrix elements of dynamical vertex operators of the higher spin XXZ model

A H Bougourzi

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We extend the concept of conjugate vertex operators, first introduced by Dotsenko (1990) in the case of the bosonization of the SU(2) conformal field theory, to the bosonization of the dynamical vertex operators (type II in the classification of the Kyoto school) of the higher spin XXZ model. We show that the introduction of the conjugate vertex operators leads to simpler expressions for the N-point matrix elements of the dynamical vertex operators, that is, without redundant Jackson integrals that arise from the insertion of screening charges. In particular, the two-point matrix element can be represented without any integral.


PACS

11.25.Hf Conformal field theory, algebraic structures

02.10.Ud Linear algebra

02.20.-a Group theory

MSC

81T40 Two-dimensional field theories, conformal field theories, etc.

17B69 Vertex operators; vertex operator algebras and related structures

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 20 (21 October 1995)



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