Matching quantum strings to quantum spins: one-loop vs. finite-size corrections

TL;DR

This paper compares quantum corrections to semiclassical strings in AdS5xS5 with one-loop anomalous dimensions in N=4 SYM, showing remarkable agreement among different computational methods and exploring their underlying relationships.

Contribution

It demonstrates the consistency of three different approaches—string theory, Landau-Lifshitz sigma model, and Bethe ansatz—in calculating quantum corrections in AdS/CFT correspondence.

Findings

Quantum corrections agree across all three methods.

Established link between Landau-Lifshitz instabilities and Bethe ansatz analyticity.

Validated the use of reduced sigma models for gauge/string duality calculations.

Abstract

We compare quantum corrections to semiclassical spinning strings in AdS(5)xS(5) to one-loop anomalous dimensions in N=4 supersymmetric gauge theory. The latter are computed using the reduced (Landau-Lifshitz) sigma model and with the help of the Bethe ansatz. The results of all three approaches are in remarkable agreement with each other. As a byproduct we establish the relationship between linear instabilities in the Landau-Lifshitz model and analyticity properties of the Bethe ansatz.