Finite size effect from classical strings in $Ad{S}_3\times S^3$ with NS-NS flux

Abstract

We study the finite size effect of rigidly rotating strings and closed folded strings in $Ad{S}_3\times S^3$ 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.

arXiv commentreferences added

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Cited by in corpus (1)

• On finite-size spiky strings in $Ad{S}_3\times S^3\times T^4$ with mixed fluxes