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.

references added

References in corpus (14)

• Giant Magnons
• Finite-size Effects from Giant Magnons
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• Gauge invariant finite size spectrum of the giant magnon
• Finite size effects for giant magnons on physical strings
• Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections
• Finite-size giant magnons on η-deformed AdS_5 x S^5
• Interacting finite-size magnons
• String solutions in AdS_3 x S^3 x T^4 with NS-NS B-field
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
• Finite-Size Dyonic Giant Magnons in TsT-transformed $Ad{S}_5\times S^5$
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Finite-size effect of η-deformed AdS_5 x S^5 at strong coupling
• Close to the Giant Magnons

Cited by in corpus (1)

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