Finite size corrections for open strings/open chains in planar AdS/CFT

TL;DR

This paper calculates the leading finite-size energy corrections for open strings in planar AdS/CFT, matching these with perturbative gauge theory results at weak coupling, enhancing understanding of finite-size effects in this duality.

Contribution

It provides the first explicit computation of finite-size corrections for open strings ending on giant gravitons at weak coupling, aligning with multi-loop gauge theory calculations.

Findings

Finite-size corrections match 1-4 loop gauge theory results.

Derived corrections are valid for very short vacuum states.

Results improve understanding of finite-size effects in AdS/CFT.

Abstract

We identify the leading finite-size (Luscher-type) correction to the energy of open strings ending on maximal giant gravitons. In particular we obtain the leading finite size correction at weak 't Hooft coupling and in the planar limit to the energy of very short vacuum states. These results are shown to agree with certain 1, 2, 3 and 4-loop dual gauge theory perturbative calculations, which we also perform.