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arxiv: hep-th/9707091 · v1 · submitted 1997-07-09 · ✦ hep-th · cond-mat· math.QA· q-alg

Angular quantization and form-factors in massive integrable models

classification ✦ hep-th cond-matmath.QAq-alg
keywords modelsangularform-factorsquantizationalgebrabullough-dodddiscussfield
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We discuss an application of the method of the angular quantization to reconstruction of form-factors of local fields in massive integrable models. The general formalism is illustrated with examples of the Klein-Gordon, sinh-Gordon and Bullough-Dodd models. For the latter two models the angular quantization approach makes it possible to obtain free field representations for form-factors of exponential operators. We discuss an intriguing relation between the free field representations and deformations of the Virasoro algebra. The deformation associated with the Bullough-Dodd models appears to be different from the known deformed Virasoro algebra.

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