论文标题
3D重力,点颗粒和变形对称性
3D gravity, point particles and deformed symmetries
论文作者
论文摘要
众所周知,根据局部等轴测组给出的量规组,可以将2+1个维度的重力重塑为Chern-Simons理论,具体取决于度量标志和宇宙学常数。将点粒子添加到时空中,作为(旋转)锥形缺陷。然后,原则上,人们可能会整合获得有效粒子作用的引力自由度。最有趣的结果是,粒子的动量空间被证明是弯曲的。在非零宇宙学常数的情况下,这仍然尚未完全理解。
It is well known that gravity in 2+1 dimensions can be recast as Chern-Simons theory, with the gauge group given by the local isometry group, depending on the metric signature and the cosmological constant. Point particles are added into spacetime as (spinning) conical defects. Then, in principle, one may integrate out the gravitational degrees of freedom to obtain the effective particle action; the most interesting consequence is that the momentum space of a particle turns out to be curved. This is still not completely understood in the case of non-zero cosmological constant.