Disordered Quivers and Cold Horizons

TL;DR

This paper studies a supersymmetric quiver quantum mechanics with random interactions, revealing low temperature behaviors similar to black hole horizons, including time reparametrization symmetry and linear specific heat.

Contribution

It introduces a model of disordered quiver theories and analyzes their low temperature properties, connecting them to black hole physics and random fermion models.

Findings

Exhibits time reparametrization symmetry at low temperatures.

Shows specific heat linear in temperature.

Draws parallels with large N free fermion theories with randomness.

Abstract

We analyze the low temperature structure of a supersymmetric quiver quantum mechanics with randomized superpotential coefficients, treating them as quenched disorder. These theories describe features of the low energy dynamics of wrapped branes, which in large number backreact into extremal black holes. We show that the low temperature theory, in the limit of a large number of bifundamentals, exhibits a time reparametrization symmetry as well as a specific heat linear in the temperature. Both these features resemble the behavior of black hole horizons in the zero temperature limit. We demonstrate similarities between the low temperature physics of the random quiver model and a theory of large $N$ free fermions with random masses.