Finite-Size Corrections to Anomalous Dimensions in N=4 SYM Theory

TL;DR

This paper investigates finite-size effects on the scaling dimensions of large operators in N=4 SYM theory, linking Bethe ansatz calculations to quantum corrections in string energies within the AdS/CFT correspondence.

Contribution

It provides a detailed analysis of finite-size corrections to Bethe states, enhancing understanding of quantum effects in semiclassical string energies in AdS/CFT.

Findings

Finite-size corrections match expected quantum string effects.

Bethe ansatz effectively captures quantum corrections.

Results improve the precision of AdS/CFT energy mappings.

Abstract

The scaling dimensions of large operators in N=4 supersymmetric Yang-Mills theory are dual to energies of semiclassical strings in AdS(5)xS(5). At one loop, the dimensions of large operators can be computed with the help of Bethe ansatz and can be directly compared to the string energies. We study finite-size corrections for Bethe states which should describe quantum corrections to energies of extended semiclassical strings.