English

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

High Energy Physics - Theory 2010-02-03 v2 Strongly Correlated Electrons

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.

Cite

@article{arxiv.0807.0559,
  title  = {Weakly Renormalized Near 1/16 SUSY Fermi Liquid Operators in N = 4 SYM},
  author = {Micha Berkooz and Dori Reichmann},
  journal= {arXiv preprint arXiv:0807.0559},
  year   = {2010}
}

Comments

A discussion about relation with previous work added to the introduction

R2 v1 2026-06-21T10:57:10.705Z