µ-Holomorphic Projective Connections and Conformal Covariance

DOI

10.2991/jnmp.2004.11.1.2How to use a DOI?

Abstract

At the quantum level of a bidimensional conformal model, the conformal symmtry is broken by the diffeomorphism anomaly and the conformal covariance is not maintained. Here we interpret geometrically this conformal covariance as an exact holomorphy condition on a two-dimensional Riemann surface on which the model is constructed. On the other hand, to restore this conformal covariance, a holomophic projective connection is needed. Here we get its transformation law with respect to a quasiconformal transformation on any complex Riemann surface and we recover the transformation law of a holomorphic projective connection under a holomorphic change of coordinates.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Mohamed Kachkachi
PY  - 2004
DA  - 2004/02/01
TI  - µ-Holomorphic Projective Connections and Conformal Covariance
JO  - Journal of Nonlinear Mathematical Physics
SP  - 7
EP  - 12
VL  - 11
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2004.11.1.2
DO  - 10.2991/jnmp.2004.11.1.2
ID  - Kachkachi2004
ER  -