Polyakov soldering and second order frames : the role of the Cartan connection
Mathematical Physics
2008-11-26 v2 High Energy Physics - Theory
math.MP
Abstract
The so-called "soldering" procedure performed by A.M. Polyakov in [1] for a SL(2,R)-gauge theory is geometrically explained in terms of a Cartan connection on second order frames of the projective space RP^1. The relationship between a Cartan connection and the usual (Ehresmann) connection on a principal bundle allows to gain an appropriate insight into the derivation of the genuine " diffeomorphisms out of gauge transformations" given by Polyakov himself.
Cite
@article{arxiv.0802.3772,
title = {Polyakov soldering and second order frames : the role of the Cartan connection},
author = {Serge Lazzarini and Carina Tidei},
journal= {arXiv preprint arXiv:0802.3772},
year = {2008}
}
Comments
Accept\'e pour publication dans Lett. Math. Phys