SciPost Submission Page
Hidden Conformal Symmetries from Killing Towers with an Application to Large-D/CFT
by Cynthia Keeler, Victoria Martin, Alankrita Priya
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Victoria Martin |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2110.10723v2 (pdf) |
| Date accepted: | 2022-04-20 |
| Date submitted: | 2022-03-31 18:10 |
| Submitted by: | Martin, Victoria |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
|
| Approach: | Theoretical |
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.
Published as SciPost Phys. 12, 170 (2022)