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On emergent conformal symmetry near the photon ring (2212.02958v4)
Published 6 Dec 2022 in hep-th and gr-qc
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.