Boundary finite size corrections for multiparticle states and planar AdS/CFT

TL;DR

This paper develops formulas for finite size energy corrections in multiparticle states within the AdS/CFT framework, specifically calculating the leading wrapping correction to certain operator dimensions.

Contribution

It introduces new formulas for Lüscher type finite size corrections and applies them to determine the leading wrapping correction in a specific AdS/CFT scenario.

Findings

Derived explicit formulas for finite size energy corrections.

Calculated the leading wrapping correction for a determinant operator.

Enhanced understanding of finite size effects in AdS/CFT

Abstract

We propose formulas for the L\"uscher type finite size energy correction of multiparticle states on the interval and evaluate them for the simplest case in the AdS/CFT setting. By this we determine the leading wrapping correction to the anomalous dimension of the simplest determinant type operator, which corresponds to a one particle state on the Y=0 brane.