Finite size effects in ferromagnetic spin chains and quantum corrections to classical strings

TL;DR

This paper investigates finite size effects in ferromagnetic spin chains and their relation to quantum corrections in classical string theory within the AdS/CFT correspondence, providing insights into quantum effects on string energies.

Contribution

It introduces finite size corrections to Bethe equations, linking them to quantum effects in string theory, extending previous thermodynamic limit analyses.

Findings

Finite size corrections match expected quantum effects.

Bethe ansatz equations are modified to include finite size effects.

Results enhance understanding of quantum corrections in AdS/CFT.

Abstract

N=4 supersymmetric Yang-Mills operators carrying large charges are dual to semiclassical strings in AdS_5xS^5. The spectrum of anomalous dimensions of very large operators has been calculated solving the Bethe ansatz equations in the thermodynamic limit, and matched to energies of string solitons. We have considered finite size corrections to the Bethe equations, that should correspond to quantum effects on the string side.