The virtual scaling function of twist operators in the N=6 Chern-Simons theory

TL;DR

This paper investigates the anomalous dimensions of twist operators in N=6 ABJM theory, revealing a simple scaling relation with N=4 SYM at large spin, advancing understanding of integrability in superconformal theories.

Contribution

It establishes a scaling law connecting the anomalous dimensions of twist operators in ABJM theory to those in N=4 SYM at next-to-leading order in large spin expansion.

Findings

Anomalous dimension in ABJM relates to N=4 SYM via a simple scaling law.

The relation holds at next-to-leading order in large spin expansion.

Provides insights into the integrability structure of ABJM theory.

Abstract

We consider twist-L operators in the planar N=6 superconformal Chern-Simons ABJM theory. Their anomalous dimension gamma_L^{CS}(N) is a function of the twist L, the spin N, and the dressed coupling of ABJM. We show that at next-to-leading order in the large spin expansion, this anomalous dimension is related to that of N=4 SYM twist operators by a simple scaling law.