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- W3206940092 abstract "We generalize the notion of hidden conformal symmetry in Kerr/CFT to Kerr-(A)dS black holes in arbitrary dimensions. We build the SL(2, R) generators directly from the Killing tower, whose Killing tensors and Killing vectors enforce the separability of the equations of motion. Our construction amounts to an explicit relationship between hidden conformal symmetries and Killing tensors: we use the Killing tower to build a novel tensor equation connecting the SL(2,R) Casimir with the radial Klein-Gordon operator. For asymptotically flat black holes in four and five dimensions we recover previously known results that were obtained using the near-region limit and the monodromy method. We then perform a monodromy evaluation of the Klein-Gordon scalar wave equation for all Kerr-(A)dS black holes, finding explicit forms for the zero mode symmetry generators. We also extend this analysis to the large-dimensional Schwarzschild black hole as a step towards buliding a Large-D/CFT correspondence." @default.
- W3206940092 created "2021-10-25" @default.
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- W3206940092 date "2022-05-23" @default.
- W3206940092 modified "2023-10-14" @default.
- W3206940092 title "Hidden conformal symmetries from Killing towers with an application to large-D/CFT" @default.
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- W3206940092 doi "https://doi.org/10.21468/scipostphys.12.5.170" @default.
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