Scattering of single spikes

Abstract

We apply the dressing method to a string solution given by a static string wrapped around the equator of a three-sphere and find that the result is the single spike solution recently discussed in the literature. Further application of the method allows the construction of solutions with multiple spikes. In particular we construct the solution describing the scattering of two single spikes and compute the scattering phase shift. As a function of the dressing parameters, the result is exactly the same as the one for the giant magnon, up to non-logarithmic terms. This suggests that the single spikes should be described by an integrable spin chain closely related to the one associated to the giant magnons. The field theory interpretation of such spin chain however is still unclear.

17 pages, LaTeX, 2 figures. v2: References added, typos corrected

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Cited by in corpus (25)

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• Correlation functions of magnon and spike
• Finite-size effects of Membranes on AdS_4 x S_7
• Review of AdS/CFT Integrability, Chapter II.1: Classical AdS5xS5 string solutions
• Giant magnons and spiky strings on the conifold
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• Aspects of Integrability in AdS/CFT Duality
• New open string solutions in AdS_5
• Spiky Strings on NS5-branes
• Giant Magnons and Spiky Strings on S^3 with B-field
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• Sum rules for higher twist sl(2)operators in N=4 SYM
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• N-body Dynamics of Giant Magnons in RxS2
• Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes
• Semiclassical strings in AdS(3) X S^2
• Spiky strings in de Sitter space
• Giant Spinons
• Semiclassical Strings on Curved Branes
• Semiclassical Strings in Supergravity PFT
• Rotating and Orbiting Strings in Dp-brane background
• P-Branes Dynamics, AdS/CFT and Correlation Functions