On circular strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$

Abstract

The so called one-parameter (often called $\varkappa$) deformed $AdS$ string sigma models have attracted a lot of attention lately in the study of integrability in string theory. We construct various circular string solutions in the $(Ad{S}_3\times S^3{)}_{\varkappa }$ background and describe the characteristics of such solutions qualitatively. We study the Bohr-Sommerfeld like quantization for these string states to characterise the motion. Further we find a `long' string limit of such circular strings in the $\varkappa$-deformed $Ad{S}_3$ and find a novel dependence of the oscillation number on the energy in the next to leading order expansion.

v2: References added, typos corrected

References in corpus (13)

• Giant Magnons
• Derivation of the action and symmetries of the q-deformed AdS_5 x S^5 superstring
• On deformations of AdS_n x S^n supercosets
• Integrable Deformations of Strings on Symmetric Spaces
• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• On the exact spectrum and mirror duality of the (AdS_5 x S^5)_eta superstring
• The ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$ mirror model as a string
• Double Wick rotating Green-Schwarz strings
• Semi-classical strings in AdS_4*CP^3
• A new coordinate system for q-deformed AdS_5 x S^5 and classical string solutions
• Finite-size giant magnons on η-deformed AdS_5 x S^5
• On the Rotating and Oscillating strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Pulsating strings in warped AdS_6 x S^4 geometry

Cited by in corpus (5)

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• Integrability of the eta-deformed Neumann-Rosochatius model
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• Probing $\eta$ deformed backgrounds with $Dp$ branes