Wrapping interactions at strong coupling -- the giant magnon

TL;DR

This paper develops generalized Luscher formulas to compute finite size corrections in theories with complex dispersion relations, applying them to the giant magnon in AdS_5xS^5, and confirms their accuracy through classical string computations.

Contribution

It introduces generalized Luscher formulas for finite size effects in theories with complex dispersion relations and validates them against classical string results in AdS/CFT.

Findings

Derived generalized Luscher formulas for finite size corrections.

Successfully applied formulas to the giant magnon at strong coupling.

Confirmed results match classical string computations, validating the approach.

Abstract

We derive generalized Luscher formulas for finite size corrections in a theory with a general dispersion relation. For the AdS_5xS^5 superstring these formulas encode leading wrapping interaction effects. We apply the generalized mu-term formula to calculate finite size corrections to the dispersion relation of the giant magnon at strong coupling. The result exactly agrees with the classical string computation of Arutyunov, Frolov and Zamaklar. The agreement involved a Borel resummation of all even loop-orders of the BES/BHL dressing factor thus providing a strong consistency check for the choice of the dressing factor.