Diffeomorphism Cohomology in Beltrami Parametrization II : The 1-Forms

Details Diffeomorphism Cohomology in Beltrami Parametrization II : The 1-Forms Diffeomorphism Cohomology in Beltrami Parametrization II : The 1-Forms

1994-10-26

arxiv.org/abs/hep-th/9410190v1

J.Math.Phys.36:1-29,1995

Physics

High Energy Physics

High Energy Physics - Theory

39 pages,CPT-94/P.3072,LaTex

Scientific paper

10.1063/1.531301

We study the 1-form diffeomorphism cohomologies within a local conformal Lagrangian Field Theory model built on a two dimensional Riemann surface with no boundary. We consider the case of scalar matter fields and the complex structure is parametrized by Beltrami differential. The analysis is first performed at the Classical level, and then we improve the quantum extension, introducing the current in the Lagrangian dynamics, coupled to external source fields. We show that the anomalies which spoil the current conservations take origin from the holomorphy region of the external fields, and only the differential spin 1 and 2 currents (as well their c.c) could be anomalous.

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