Holography: triangle meeting
Speakers: Richard Davison (Cambridge) and Claire Zukowski (Amsterdam). Location: Leiden.
13:30 - 14:00 Tea & Coffee
14:00 - 15:15 Richard Davison (Cambridge) - Relations between hydrodynamic and chaotic phenomena in holographic theories
15:15 - 15:45 Coffee break
15:45 - 17:00 Claire Zukowski (UvA) - Kinematic Space and the Orbit Method
17:00 - 18:00 Borrel (HL226)
Richard Davison (Cambridge) - Relations between hydrodynamic and chaotic phenomena in holographic theories
Abstract: I will describe some recent work illustrating the relation between hydrodynamic and chaotic properties of holographic theories. I will firstly discuss late-time transport in holographic theories, showing that the thermal conductivity of these theories is sensitive only to the metric near the horizon and therefore that their thermal diffusivity is universally related to their butterfly velocity. I will then explain how certain properties of their collective excitations at much earlier times are also controlled simply by the metric near the horizon, and use this to prove that the chaotic properties of holographic systems are imprinted in a characteristic way on their collective excitation spectra. This is consistent with a proposed hydrodynamic origin of chaotic behaviour in holographic theories.
Claire Zukowski (Amsterdam) - Kinematic Space and the Orbit Method
Abstract: Coadjoint orbits are symplectic manifolds that are the classical analogues of a Lie group’s unitary irreducible representations. In this talk I will argue that the space of Ryu-Takayanagi surfaces in anti de Sitter spacetime, known as kinematic space, is a particular coadjoint orbit of the conformal group. In addition, I will show that the Crofton form on kinematic space, that was shown to compute the lengths of bulk curves, is equal to the standard Kirillov-Kostant symplectic form on the coadjoint orbit. Since kinematic space is K\”ahler in addition to symplectic, it can be quantized. The orbit method then translates geometrical properties of holographic auxiliary spaces like kinematic space into statements about the representation theory of the conformal group. This is a new application of the orbit method to holography that extends the kinematic space dictionary and suggests generalizations as well as obstructions for kinematic space.
Room HL226 Huygens Laboratory
Niels Bohrweg 2, Leiden
Diego Hofman (Amsterdam)
Koenraad Schalm (Leiden)
Umut Gursoy (Utrecht)
This event is part of a regular series of meetings sponsored by Delta ITP with the objective of bringing together the theoretical physics communities in Amsterdam, Leiden, Utrecht and our sister nodes Groningen, Brussels (ULB and VUB) and Leuven. The topic of this meeting is holography and its applications to different physical systems. We encourage researchers from different areas in theoretical physics to participate!