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arXiv · 0802.3772

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

Serge Lazzarini·Carina Tidei
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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.

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Serge Lazzarini, Carina Tidei. 2008-07-03. Polyakov soldering and second order frames : the role of the Cartan connection. https://doi.org/10.1007/s11005-008-0253-8

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