Preprint PAR-LPTHE 97-42 OPERATOR FORMALISM FOR BOSONIC BETA-GAMMA FIELDS ON GENERAL ALGEBRAIC CURVES
نویسندگان
چکیده
An operator formalism for bosonic system on arbitrary algebraic curves is introduced. The classical degrees of freedom are identi ed and their commutation relations are postulated. The explicit realization of the algebra formed by the elds is given in the Hilbert space equipped with a bilinear form. The construction is based on the "gaussian" representation for system on the complex sphere [Alvarez-Gaum e et al, Nucl. Phys. B 311 (1988) 333]. Detailed computations are provided for 2 and 4 point correlation functions.
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Operator Formalism for Bosonic Beta-gamma Fields on General Algebraic Curves
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