Universal properties of cold holographic matter

TL;DR

This paper investigates universal collective excitations in holographic quantum liquids, analyzing thermodynamics, sound modes, and the effects of external parameters, providing insights into strongly coupled defect field theories.

Contribution

It offers a comprehensive study of universal properties of holographic matter, including generalized quantization and anyonic correlators, in a broad class of $AdS_4$ systems.

Findings

Determined the speed of first and zero sound under various conditions.

Analyzed the impact of temperature, chemical potential, and magnetic field on collective modes.

Generalized quantization procedures for conformally $AdS_4$ cases.

Abstract

We study the collective excitations of holographic quantum liquids formed in the low energy theory living at the intersection of two sets of D-branes. The corresponding field theory dual is a supersymmetric Yang-Mills theory with massless matter hypermultiplets in the fundamental representation of the gauge group which generically live on a defect of the unflavored theory. Working in the quenched (probe) approximation, we focus on determining the universal properties of these systems. We analyze their thermodynamics, the speed of first sound, the diffusion constant, and the speed of zero sound. We study the influence of temperature, chemical potential, and magnetic field on these quantities, as well as on the corresponding collisionless/hydrodynamic crossover. We also generalize the alternative quantization for all conformally $AdS_4$ cases and study the anyonic correlators.