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

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

2008-07-03

arxiv.org/abs/0807.0559v2

JHEP 0810:084,2008

Physics

High Energy Physics

High Energy Physics - Theory

A discussion about relation with previous work added to the introduction

Scientific paper

10.1088/1126-6708/2008/10/084

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.

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