Spiky Strings, Giant Magnons and beta-deformations

Abstract

We study rigid string solutions rotating on the S^3 subspace of the beta-deformed AdS_5xS^5 background found by Lunin and Maldacena. For particular values of the parameters of the solutions we find the known giant magnon and single spike strings. We present a single spike string solution on the deformed S^3 and find how the deformation affects the dispersion relation. The possible relation of this string solution to spin chains and the connection of the solutions on the undeformed S^3 to the sine-Gordon model are briefly discussed.

20 pages, 2 figures; v2: typos corrected, references added

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Cited by in corpus (31)

• Single spike solutions for strings on S2 and S3
• Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries
• Neumann-Rosochatius integrable system for strings on AdS_4 x CP^3
• On the Rotating and Oscillating strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Scattering of single spikes
• Giant Magnon on Deformed AdS(3)xS(3)
• On the anatomy of multi-spin magnon and single spike string solutions
• Giant magnons and spiky strings on the conifold
• On the multi-spin magnon and spike solutions from membranes
• Spiky strings in $\varkappa$-deformed $AdS$
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• On the pulsating strings in AdS_5 x T^{1,1}
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• Fundamental String and D1-brane in I-brane Background
• D1-brane in beta-Deformed Background
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• A note on two-spin magnon-like energy-charge relations from M-theory viewpoint
• Strings on the deformed T^{1,1}: giant magnon and single spike solutions
• Spin chain from membrane and the Neumann-Rosochatius integrable system
• Rotating Strings in AdS(4) X CP(3) with B-NS holonomy
• A note on strings in deformed AdS_4 x CP3: giant magnon and single spike solutions
• Three Spin Spiky Strings in beta-deformed Background
• On Pulsating Strings in Schrödinger Backgrounds
• Multi-Spin Strings in AdS_4*CP^3 and its β-deformation
• Divergent energy strings in $Ad{S}_5\times S^5$ with three angular momenta
• Pulsating strings in $Sch{r}_5\times T^{1,1}$ background
• Semiclassical Strings in Supergravity PFT
• Holographic Fisher Information Metric in Schrödinger Spacetime
• Rotating and Orbiting Strings in Dp-brane background
• Note About String with Euclidean World-Sheet in AdS(5)xS(5)
• P-Branes Dynamics, AdS/CFT and Correlation Functions