Seminari

Towards a Combinatorial Holography

by Dr Paolo Benincasa (Niels Bohr International Academy)

Europe/Rome
Aula Teorici (DIFA)

Aula Teorici

DIFA

Via Irnerio, 46
Description

The observables we are used to talk about to describe the physics at accessible high energies, such as correlation functions, S-matrix or even the wavefunction of the universe in cosmology are boundary quantities: they are just functions of the in and out data, with all the time evolution connected them which is integrated out. However, in a putative full-fledge theory of quantum gravity the boundary observables are the only ones which are guaranteed to be well-defined. While in asymptotically AdS space-times the correlators are known to define CFTs directly on the boundary, with the actual gauge/gravity duality establishing a weak-strong correspondence, it is unclear whether and, in case, which class of theories are attached to the boundary of asymptotically flat and cosmological space-times. In this talk, we will argue how novel combinatorial structures underlie observables -- no matter if they are in asymptotically AdS, flat or cosmological space-times -- and how they offer first principle formulations of the theory directly on the boundary without any need to refer to a bulk.