# 30th Nordic Network Meeting on "Strings, Fields, and Branes"

Nov 22 – 24, 2021
Nordita, Stockholm
Europe/Stockholm timezone

## Hidden Conformal Symmetries from Killing Tensors

Nov 22, 2021, 3:50 PM
20m
room 4204 (Nordita, Stockholm)

Short talk

### Speaker

Victoria Martin (University of Iceland)

### Description

I will discuss the recent paper 2110.10723, in which 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 ten- sor 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 re- sults 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.

### Primary authors

Dr Alankrita Priya (Arizona State University) Prof. Cynthia Keeler (Arizona State University) Victoria Martin (University of Iceland)