Finite size effect from classical strings in $AdS_3 \times S^3$ with NS-NS flux

Sorna Prava Barik; Kamal L. Panigrahi

Finite size effect from classical strings in $AdS_3 \times S^3$ with NS-NS flux

High Energy Physics - Theory 2019-02-13 v2

Authors: Sorna Prava Barik , Kamal L. Panigrahi

Abstract

We study the finite size effect of rigidly rotating strings and closed folded strings in $AdS_3\times S^3$ geometry with NS-NS B-field. We calculate the classical exponential corrections to the dispersion relation of infinite size giant magnon and single spike in terms of Lambert $\mathbf{W}-$ function. We also write the analytic expression for the dispersion relation of finite size Gubser-Klebanov-Polyakov (GKP) string in the form of Lambert $\mathbf{W}-$ function.

Keywords

ads3 x s3 ns-ns flux rigidly rotating strings finite size effect giant magnon gkp string

Cite

@article{arxiv.1901.03026,
  title  = {Finite size effect from classical strings in $AdS_3 \times S^3$ with NS-NS flux},
  author = {Sorna Prava Barik and Kamal L. Panigrahi},
  journal= {arXiv preprint arXiv:1901.03026},
  year   = {2019}
}

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