Finite-size Effects for Single Spike

Abstract

We use the reduction of the string dynamics on R_t x S^3 to the Neumann-Rosochatius integrable system to map all string solutions described by this dynamical system onto solutions of the complex sine-Gordon integrable model. This mapping relates the parameters in the solutions on both sides of the correspondence. In the framework of this approach, we find finite-size string solutions, their images in the (complex) sine-Gordon system, and the leading finite-size effects of the single spike "E-Δϕ" relation for both R_t x S^2 and R_t x S^3 cases.

minor improvements;27 pages;to be published in JHEP

Cited by in corpus (14)

• Three-point Correlation functions of Giant magnons with finite size
• Giant Magnon on Deformed AdS(3)xS(3)
• Finite size corrections for open strings/open chains in planar AdS/CFT
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• A note on the reduction of the AdS4 x CP3 string sigma model
• On the pulsating strings in AdS_4 x CP3
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Near Flat Space limit of strings on AdS_4 x CP^3
• Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes
• Finite-size Giant Magnons on AdS_4 x CP^3_γ
• Elliptic String Solutions on RxS^2 and Their Pohlmeyer Reduction
• Giant Spinons
• Finite Size Effect from Classical Strings in deformed AdS${}_3\times$ S${}^3$
• Some semiclassical structure constants for AdS_4 x CP^3