Polyakov soldering and second order frames : the role of the Cartan connection

Details Polyakov soldering and second order frames : the role of the Cartan connection Polyakov soldering and second order frames : the role of the Cartan connection

2008-02-26

arxiv.org/abs/0802.3772v2

Lett.Math.Phys.85:27-37,2008

Physics

Mathematical Physics

Accept\'e pour publication dans Lett. Math. Phys

Scientific paper

10.1007/s11005-008-0253-8

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.

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