On emergent conformal symmetry near the photon ring

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)

_{QNM}

symmetry. We show that each eikonal QNM family falls into one highest-weight representation of this algebra, and sl(2, ℝ)

_{QNM}

can be related to the near-ring isometry group sl(2, ℝ)

_{ISO}

in a simple way. Furthermore we find that the coherent state space of sl(2, ℝ)

_{QNM}

can be identified with the phase space of the photon ring.

Note:

15 pages, minor revisions; Presentation improved, published version

Black Holes
Scale and Conformal Symmetries
symmetry: conformal
space-time: warped
algebra: SL(2,R)
quasinormal mode
eikonal
group: isometry
photon

References(34)

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