On emergent conformal symmetry near the photon ring

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.

15 pages, minor revisions; Presentation improved, published version

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Cited by in corpus (2)

• $SL(2,R)\times U(1)$ symmetry and quasinormal modes in the self-dual warped AdS black hole
• Strong gravitational lensing of a five-dimensional charged, equally rotating black hole with a cosmological constant