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
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。