Finite size effect from classical strings in deformed AdS3× S3

Abstract

We study the finite size effect of rigidly rotating and spinning folded strings in (AdS 3 × S 3 ) κ background. We calculate the leading order exponential corrections to the infinite size dispersion relation of the giant magnon, and single spike solutions. For the spinning folded strings we write the finite size effect in terms of the known Lambert W -function. arXiv:1807.04601v3 [hep-th]

On finite-size spiky strings in AdS3 × S3 × T4 with mixed fluxes

“…The finite-size corrections to giant magnon and dyonic giant magnon dispersion relation have been extensively studied at classical [47][48][49][50][51][52][53][54][55][56][57][58][59] as well as one-loop level [60,61]. There have been several instances of finite-size study for certain deformations [62][63][64][65][66][67]. Recently, the anomalous dimension of GKP strings for finite angular momentum has been shown in terms of Lambert W −functions in [68].…”