论文标题
BMS代数为4和3维度，它们的量子变形和双重
BMS algebras in 4 and 3 dimensions, their quantum deformations and duals
论文作者
论文摘要
BMS对称性是时空零边界附近渐近平面的对称性，预计它将在物理学中起基本作用。因此，有趣的是研究这些对称性的量子变形的结构和特性，这些对称的量子变形的结构和特性有望阐明量子时空的对称性。在本文中，我们讨论了3和4个时空维度的扩展BMS对称性代数的结构，意识到这些代数包含无限数量的独特的庞加莱亚代代代代代代代代代代代什么程，这一事实以前仅在3维情况下被指出。然后，我们使用这些子代理构建无限数量的不同HOPF代数是BMS代数的量子变形。我们还讨论了不同类型的扭曲信息和双Hopf代数，这些代数可以解释为非交通性的扩展量子空间。
BMS symmetry is a symmetry of asymptotically flat spacetimes in the vicinity of the null boundary of spacetime and it is expected to play a fundamental role in physics. It is interesting therefore to investigate the structures and properties of quantum deformations of these symmetries, which are expected to shed some light on symmetries of quantum spacetime. In this paper we discuss the structure of the algebra of extended BMS symmetries in 3 and 4 spacetime dimensions, realizing that these algebras contain an infinite number of distinct Poincaré subalgebras, a fact that has previously been noted in the 3-dimensional case only. Then we use these subalgebras to construct an infinite number of different Hopf algebras being quantum deformations of the BMS algebras. We also discuss different types of twist-deformations and the dual Hopf algebras, which could be interpreted as noncommutative, extended quantum spacetimes.
