Numerical results for the exact spectrum of planar AdS4/CFT3

TL;DR

This paper numerically computes the exact spectrum of planar ABJM theory at intermediate coupling by solving truncated Thermodynamic Bethe Ansatz equations, providing new insights into the theory's anomalous dimensions.

Contribution

It introduces a truncation method that reduces computational complexity in solving TBA equations for the AdS4/CFT3 spectrum.

Findings

Numerical results for anomalous dimensions across a range of coupling values

Efficient truncation method for TBA equations

Validation of the interpolating function h(λ) in the spectrum

Abstract

We compute the anomalous dimension for a short single-trace operator in planar ABJM theory at intermediate coupling. This is done by solving numerically the set of Thermodynamic Bethe Ansatz equations which are expected to describe the exact spectrum of the theory. We implement a truncation method which significantly reduces the number of integral equations to be solved and improves numerical efficiency. Results are obtained for a range of 't Hooft coupling lambda corresponding to $0 \leq h(\lambda) \leq 1$, where h(lambda) is the interpolating function of the AdS4/CFT3 Bethe equations.