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Operator formalism for bosonic beta–gamma fields on general algebraic curves

Operator formalism for bosonic beta–gamma fields on general algebraic curves

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 …