论文标题
在光子环附近的紧急形式对称性上
On emergent conformal symmetry near the photon ring
论文作者
论文摘要
在本说明中，我们重新审视了扭曲时空近环区域中新兴的保形对称性。特别是，我们提出了一种新颖的构造近环$ sl（2，r）_ {\ text {qnm}} $ symmetry。我们表明，每个eikonal qnm家族都属于该代数的最高权重表示，而$ sl（2，r）_ {\ text {qnm}} $可以以简单的方式与近环等轴测组$ sl（2，r）_ {\ text {iso}} $有关。此外，我们发现可以使用光子环的相位空间来识别$ sl（2，r）的相干状态空间_ {\ text {qnm}} $。
In this note we revisit the emergent conformal symmetry in the near-ring region of warped spacetime. In particular, we propose a novel construction of the emergent near-ring $sl(2,R)_{\text{QNM}}$ symmetry. We show that each eikonal QNM family falls into one highest-weight representation of this algebra, and $sl(2,R)_{\text{QNM}}$ can be related to the near-ring isometry group $sl(2,R)_{\text{ISO}}$ in a simple way. Furthermore we find that the coherent state space of $sl(2,R)_{\text{QNM}}$ can be identified with the phase space of the photon ring.
