Volume 11, Issue 1, February 2004, Pages 7 - 12
µ-Holomorphic Projective Connections and Conformal Covariance
Received 20 December 2002, Accepted 22 May 2003, Available Online 1 February 2004.
- 10.2991/jnmp.2004.11.1.2How to use a DOI?
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.
- © 2006, the Authors. Published by Atlantis Press.
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Cite this article
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 -