Conformal mechanics inspired by extremal black holes in d=4

Abstract

A canonical transformation which relates the model of a massive relativistic particle moving near the horizon of an extremal black hole in four dimensions and the conventional conformal mechanics is constructed in two different ways. The first approach makes use of the action-angle variables in the angular sector. The second scheme relies upon integrability of the system in the sense of Liouville.

V2: presentation improved, new material and references added; the version to appear in JHEP

References in corpus (5)

• A classification of near-horizon geometries of extremal vacuum black holes
• Cargese Lectures on the Kerr/CFT Correspondence
• Action-angle variables for dihedral systems on the circle
• Particle dynamics on AdS_2 x S^2 background with two-form flux
• Particle dynamics near extreme Kerr throat and supersymmetry

Cited by in corpus (17)

• Superconformal mechanics
• Superintegrable models related to near horizon extremal Myers-Perry black hole in arbitrary dimension
• Higher rank Killing tensors and Calogero model
• Near horizon black holes in diverse dimensions and integrable models
• Action-angle variables for the particle near extreme Kerr throat
• N=4 superconformal mechanics from the su(2) perspective
• Near horizon extremal Myers-Perry black holes and integrability of associated conformal mechanics
• The structure of invariants in conformal mechanics
• On integrability of geodesics in near-horizon extremal geometries: Case of Myers-Perry black holes in arbitrary dimensions
• Note on constants of motion in conformal mechanics associated with near horizon extremal Myers-Perry black holes
• Reducibility of Killing tensors in d>4 NHEK geometry
• N=2 superparticle near horizon of a magnetized Kerr black hole
• Super 0--brane action on the coset space of $D(2,1;\alpha )$ supergroup
• Integrable models associated with Myers-Perry-AdS-dS black hole in diverse dimensions
• Action-Angle Variables In Conformal Mechanics
• Hidden symmetries of near-horizon extremal Kerr-AdS-NUT geometries
• Remark on near-horizon geometry of extreme regular black holes