Neumann-Rosochatius integrable system for strings on AdS_4 x CP^3

Abstract

We use the reduction of the string dynamics on AdS_4 x CP^3 to the Neumann-Rosochatius integrable system. All constraints can be expressed simply in terms of a few parameters. We analyze the giant magnon and single spike solutions on R_t x CP^3 with two angular momenta in detail and find the energy-charge relations. The finite-size effects of the giant magnon and single spike solutions are analyzed.

some improvements made, a section in appendix and references added;19 pages

References in corpus (23)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Giant Magnons
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Finite-size Effects from Giant Magnons
• The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
• The all loop AdS4/CFT3 Bethe ansatz
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• N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations
• The AdS4/CFT3 algebraic curve
• Spiky strings and giant magnons on S5
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• Single spike solutions for strings on S2 and S3
• Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory
• Finite-Size Effects for Dyonic Giant Magnons
• Pure Spinor Formalism for Osp(N|4) backgrounds
• Semi-classical strings in AdS_4*CP^3
• Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections
• Spiky Strings, Giant Magnons and beta-deformations
• Finite-size effects of Membranes on AdS_4 x S_7
• On the anatomy of multi-spin magnon and single spike string solutions
• Neumann and Neumann-Rosochatius integrable systems from membranes on AdS_4xS^7

Cited by in corpus (50)

• Three-dimensional N=6 SCFT's and their membrane dynamics
• Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3
• Spinning strings at one-loop in AdS_4 x P^3
• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• Anomalous radius shift in AdS(4)/CFT(3)
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Simplifying superstring and D-brane actions in AdS(4) x CP(3) superbackground
• Exploring Pure Spinor String Theory on AdS_4 x CP^3
• Worldsheet spectrum in AdS(4)/CFT(3) correspondence
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Superstrings on AdS_4 x CP^3 from Supergravity
• Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
• Non-planar ABJM Theory and Integrability
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• The AdS(4) x CP(3) string and its Bethe equations in the near plane wave limit
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• A note on the reduction of the AdS4 x CP3 string sigma model
• Finite-size Effect of the Dyonic Giant Magnons in N=6 super Chern-Simons Theory
• Giant Magnons on CP^3 by Dressing Method
• Dressed Giant Magnons on CP^3
• Generalized Conformal Symmetry and Recovery of SO(8) in Multiple M2 and D2 Branes
• On semiclassical calculation of three-point functions in AdS_4 x CP^3
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• Wilson Loops in 3d QFT from D-branes in AdS(4) x CP**3
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• Giant Magnons and Spiky Strings on S^3 with B-field
• On the pulsating strings in AdS_4 x CP3
• Near Flat Space limit of strings on AdS_4 x CP^3
• ${\mathbb{CP}}^N$-Rosochatius system, superintegrability, supersymmetry
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory
• Coset for Hopf fibration and Squashing
• Semiclassical strings in AdS(3) X S^2
• Finite-size Giant Magnons on AdS_4 x CP^3_γ
• A note on strings in deformed AdS_4 x CP3: giant magnon and single spike solutions
• Giant Spinons
• Wrapping effects in supersymmetric gauge theories
• Neumann-Rosochatius system for strings in ABJ Model
• Neumann-Rosochatius system for (m,n) string in $Ad{S}_3\times S^3$ with mixed flux
• Large J expansion in ABJM theory revisited
• Neumann-Rosochatius system for strings on I-brane
• P-Branes Dynamics, AdS/CFT and Correlation Functions
• Neumann-Rosochatius system for rotating strings in $Ad{S}_3\times S^3\times S^3\times S^1$ with flux
• Superintegrable deformations of oscillator and Coulomb systems
• Emergent geometry in N=6 Chern-Simons-matter theory
• Some semiclassical structure constants for AdS_4 x CP^3