Weakly Renormalized Near 1/16 SUSY Fermi Liquid Operators in N = 4 SYM

Abstract

We discuss a class of Fermi Liquid Operators in N = 4 SYM. We show that these operators are eigenstates of the full quantum dilatation operator. We compute their 1 and 2 loop anomalous dimensions, and show that, similar to Fermi liquids in condensed matter systems, these corrections are suppressed by an arbitrarily small parameter, which is the equivalent of one over the Fermi energy. These operators are, at the classical level, descendants of 1/16 BPS operators, with some scaling properties similar to those of the 1/16 Black Holes in AdS_5.

A discussion about relation with previous work added to the introduction

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• Supersymmetric Index from Black Hole Entropy
• Quantum Black Hole Entropy from 4d Supersymmetric Cardy formula
• Cardy-like asymptotics of the 4d $\mathcal{N}=4$ index and AdS${}_5$ blackholes
• Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory
• Words to describe a black hole
• Large AdS black holes from QFT
• Uniqueness of near-horizon geometries of rotating extremal AdS(4) black holes
• Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function
• Fermi surfaces in N=4 Super-Yang-Mills theory
• Decoding stringy near-supersymmetric black holes
• Exact QFT duals of AdS black holes
• Nonrelativistic near-BPS corners of $\mathcal{N}=4$ super-Yang-Mills with $SU(1,1)$ symmetry
• Fermi surface behavior in the ABJM M2-brane theory
• Large Charge Sector of 3d Parity-Violating CFTs
• Charging the Superconformal Index
• Minding the Gap in N=4 Super-Yang-Mills
• Microscopic Entropy of AdS${}_3$ Black Holes Revisited
• Degenerate Rotating Black Holes, Chiral CFTs and Fermi Surfaces I - Analytic Results for Quasinormal Modes
• Chiral 2D "Strange Metals" from N = 4 SYM
• Lessons from the Vacuum Structure of 4d N=2 Supergravity
• More on BPS States in N=4 Supersymmetric Yang-Mills Theory on R x S3
• Holographic Fermi surfaces in charge density wave from D2-D8
• Fermionic spectrum from a domain wall in five dimensions
• Classical probes for 1/16 SUSY operators
• Renormalization Group Flow for Noncommutative Fermi Liquids