论文标题

朝着阳米尔斯理论

Towards equivariant Yang-Mills theory

论文作者

Bonechi, Francesco, Cattaneo, Alberto S., Zabzine, Maxim

论文摘要

我们研究了Batalin-Vilkovisky(BV)形式主义的均值扩展的背景下,研究了四个维量规的理论。我们讨论了BV Yang-Mills(YM)理论的嵌入到更大的BV理论中及其关系。对伯氏(BV)的局部集成(BV推动图映射)在Abelian情况下明确执行。结果,我们获得了cartan演算的非本地同源性概括,并获得了满足均衡主方程的阿贝尔YM BV动作的非本地延伸。

We study four dimensional gauge theories in the context of an equivariant extension of the Batalin-Vilkovisky (BV) formalism. We discuss the embedding of BV Yang-Mills (YM) theory into a larger BV theory and their relation. Partial integration in the equivariant BV setting (BV push-forward map) is performed explicitly for the abelian case. As result, we obtain a non-local homological generalization of the Cartan calculus and a non-local extension of the abelian YM BV action which satisfies the equivariant master equation.

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