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arXiv 0802.3772math-phhep-thmath.MP
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Polyakov焊接和二阶标架:Cartan连接的作用

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

Serge Lazzarini, Carina Tidei

摘要:

波利亚科夫在文献[1]中对SL(2,R)-规范理论进行的所谓“焊接”过程,可以用射影空间RP的二阶标架上的嘉当联络来进行几何解释^[1]。卡当联络和主丛上通常的(埃雷斯曼)联络之间的关系可以适当地洞察波利亚科夫本人给出的真正的“规范变换的微分同胚”的推导。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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