Operator Formalism for Bosonic Beta-Gamma Fields on General Algebraic Curves

Details Operator Formalism for Bosonic Beta-Gamma Fields on General Algebraic Curves Operator Formalism for Bosonic Beta-Gamma Fields on General Algebraic Curves

1997-10-05

arxiv.org/abs/hep-th/9710040v1

J.Math.Phys. 39 (1998) 5148-5165

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, plain TeX + harvmac

Scientific paper

10.1063/1.532584

An operator formalism for bosonic $\beta-\gamma$ systems on arbitrary algebraic curves is introduced. The classical degrees of freedom are identified and their commutation relations are postulated. The explicit realization of the algebra formed by the fields is given in a Hilbert space equipped with a bilinear form. The construction is based on the "gaussian" representation for $\beta-\gamma$ systems on the complex sphere [Alvarez-Gaum\' e et al, Nucl. Phys. B 311 (1988) 333]. Detailed computations are provided for the two and four points correlation functions.

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