We explicitly construct bases for meromorphic λ-differentials over genus g 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 for b-c systems with arbitrary integer or half-integer λ (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. © 1989 Springer-Verlag.
A global operator formalism on higher genus Riemann surfaces: b-c systems / Bonora, L.; Lugo, A.; Matone, M.; Russo, J.. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - 123:2(1989), pp. 329-352. [10.1007/BF01238861]
A global operator formalism on higher genus Riemann surfaces: b-c systems
Bonora, L.;
1989-01-01
Abstract
We explicitly construct bases for meromorphic λ-differentials over genus g 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 for b-c systems with arbitrary integer or half-integer λ (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. © 1989 Springer-Verlag.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
