Spectrum of Chiral Operators in Strongly Coupled Gauge Theories

TL;DR

This paper investigates the spectrum of chiral primary operators in three-dimensional strongly coupled gauge theories at fixed points, utilizing AdS/CFT correspondence to determine operator dimensions and their relation to IR fixed points.

Contribution

It provides a detailed analysis of the operator spectrum at large N in 3D fixed points using holographic methods, identifying operators in short superconformal multiplets.

Findings

Dimensions of operators in short superconformal multiplets are extracted.

Operators are expressed in terms of short distance theories flowing to fixed points.

The spectrum analysis enhances understanding of strongly coupled 3D gauge theories.

Abstract

We analyze the large $N$ spectrum of chiral primary operators of three dimensional fixed points of the renormalization group. Using the space-time picture of the fixed points and the correspondence between anti-de Sitter compactifications and conformal field theories we are able to extract the dimensions of operators in short superconformal multiplets. We write down some of these operators in terms of short distance theories flowing to these non-trivial fixed points in the infrared.