Type: Article
Publication Date: 1998-10-01
Citations: 3
DOI: https://doi.org/10.1063/1.532584
An operator formalism for bosonic β–γ system 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 the Hilbert space equipped with a bilinear form. The construction is based on the “Gaussian” representation for β–γ system on the complex sphere [Alvarez-Gaumé et al., Nucl. Phys. B 311, 333 (1988)]. Detailed computations are provided for two- and four-point correlation functions.