Abstract
We explicitly construct bases for meromorphicλ-differentials over genusg Riemann surfaces. With the help of these bases we introduce a new operator formalism over Riemann surfaces which closely resembles the operator formalism on the sphere. As an application we calculate the propagators forb-c systems with arbitrary integer or half-integerλ (in the Ramond and Neveu-Schwarz sectors). We also give explicit expressions for the zero modes and for the Teichmüller deformations for a generic Riemann surface.
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Bonora, L., Lugo, A., Matone, M. et al. A global operator formalism on higher genus Riemann surfaces:b−c systems. Commun.Math. Phys. 123, 329–352 (1989). https://doi.org/10.1007/BF01238861
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DOI: https://doi.org/10.1007/BF01238861