论文标题
同型重力代数及其编织变形
Homotopy Lie Algebras of Gravity and their Braided Deformations
论文作者
论文摘要
我们描述了循环$ l _ {\ infty} $ - 在爱因斯坦 - 卡丹 - 帕拉蒂尼形式上无物质领域的经典一般相对性的代数公式。使用drinfel'd扭转变形技术，我们用编织的仪表对称性定义了该理论的非交通性版本。我们介绍了编织的$ l _ {\ infty} $ - 代数的概念，并使用它来编码非交通重力的对称性，字段内容，字段方程和NOETHE身份。
We describe the cyclic $L_{\infty}$-algebra formulation of classical general relativity without matter fields in the Einstein-Cartan-Palatini formalism. Using Drinfel'd twist deformation techniques, we define a noncommutative version of the theory with braided gauge symmetries. We introduce a notion of braided $L_{\infty}$-algebra, and use it to encode the symmetries, field content, field equations and Noether identities of noncommutative gravity.
