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arXiv · 2212.02958

On emergent conformal symmetry near the photon ring

Bin Chen·Yehui Hou·Zezhou Hu
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Abstract

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.

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Bin Chen, Yehui Hou, Zezhou Hu. 2022-12-06. On emergent conformal symmetry near the photon ring. https://doi.org/10.1007/jhep05(2023)115

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