Looking for a quantum mechanical model of black holes through hyperscaling violation and spin glass

by Vladimir Narovlansky

IAS

at Particles and Fields Seminar

Mon, 20 Jan 2025, 14:00
Sacta-Rashi Building for Physics (54), room 207

Abstract

Our main motivation is to find a quantum model, which is under analytic control, that would describe black holes in Einstein gravity and will allow us to study them quantum mechanically. Motivated by this, we consider a disordered quantum mechanical system with interesting low energy dynamics, differing from that of the SYK model. The entropy at low energies has a non-trivial scaling with temperature, with an exponent that we calculate. This feature, similar to hyperscaling violation, is a known property of some familiar black holes. A quantum system suggested to describe such a black hole is the BFSS model, which is not solvable. In fact, the equations of our model generalize an uncontrolled approximation of the BFSS model, but correctly describe the large N limit of our model. Spin glasses were suggested to play a role in gravitational systems, including in related models, and we study this relation in our model.

Created on 29-12-2024 by Kats, Yevgeny (katsye)
Updaded on 13-01-2025 by Kats, Yevgeny (katsye)