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

TL;DR

This paper introduces a class of Fermi Liquid Operators in N=4 SYM that are eigenstates of the quantum dilatation operator, with anomalous dimensions suppressed similarly to condensed matter Fermi liquids, revealing novel quantum properties.

Contribution

It identifies and analyzes Fermi Liquid Operators in N=4 SYM as eigenstates of the dilatation operator with suppressed anomalous dimensions, linking them to 1/16 BPS operators and black hole scaling.

Findings

Operators are eigenstates of the quantum dilatation operator.

Anomalous dimensions are suppressed by a small parameter.

Operators relate to 1/16 BPS operators and black holes.

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.