Scattering of Giant Magnons in CP^3

Abstract

We study classical scattering phase of CP^2 dyonic giant magnons in R_t x CP^3. We construct two-soliton solutions explicitly by the dressing method. Using these solutions, we compute the classical time delays for the scattering of giant magnons, and compare them to boundstate S-matrix elements derived from the conjectured AdS_4/CFT_3 S-matrix by Ahn and Nepomechie in the strong coupling limit. Our result is consistent with the conjectured S-matrix. The dyonic solutions play an essential role in revealing the polarization dependence of scattering phase.

arXiv comment29 pages; v2: minor corrections; v3: minor corrections, references added ; v4: minor corrections ; v5: minor corrections based on the published version

References in corpus (76)

• Gauge Theory Correlators from Non-Critical String Theory
• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Transcendentality and Crossing
• Giant Magnons
• The su(2|2) Dynamic S-Matrix
• The Factorized S-Matrix of CFT/AdS
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Integrability for the Full Spectrum of Planar AdS/CFT II
• Integrability for the Full Spectrum of Planar AdS/CFT
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Superstrings on AdS_4 x CP^3 as a Coset Sigma-model
• The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
• The Bethe ansatz for superconformal Chern-Simons
• 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
• On Type IIA Penrose Limit and N=6 Chern-Simons Theories
• The Analytic Bethe Ansatz for a Chain with Centrally Extended su(2|2) Symmetry
• Exact AdS/CFT spectrum: Konishi dimension at any coupling
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• Four loop twist two, BFKL, wrapping and strings
• Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
• Magnon Bound States and the AdS/CFT Correspondence
• Dyonic Giant Magnons
• N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations
• Wrapping interactions at strong coupling -- the giant magnon
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Five loop Konishi from AdS/CFT
• Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3
• Spinning strings at one-loop in AdS_4 x P^3
• The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
• The AdS4/CFT3 algebraic curve
• The S-matrix of String Bound States
• Integrable Spin Chain in Superconformal Chern-Simons Theory
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• AdS4/CFT3 at One Loop
• Dressing the Giant Magnon
• Quantum strings in AdS_5 x S^5: strong-coupling corrections to dimension of Konishi operator
• Worldsheet spectrum in AdS(4)/CFT(3) correspondence
• Dressing the Giant Magnon II
• Y-system and Quasi-Classical Strings
• Twist-three at five loops, Bethe Ansatz and wrapping
• Finite-Size Effects for Dyonic Giant Magnons
• Comment on the Scaling Function in AdS4 x CP3
• Magnon dispersion to four loops in the ABJM and ABJ models
• Quantum Wrapped Giant Magnon
• The Bound State S-Matrix for AdS5 x S5 Superstring
• Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory
• Magnons, their Solitonic Avatars and the Pohlmeyer Reduction
• Semi-classical strings in AdS_4*CP^3
• Temperature quantization from the TBA equations
• Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections
• Finite Size Giant Magnon
• The Asymptotic Spectrum of the N=4 Super Yang-Mills Spin Chain
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Magnon Bound-state Scattering in Gauge and String Theory
• A new derivation of Luscher F-term and fluctuations around the giant magnon
• Finite-Size Effects for Multi-Magnon States
• Generalized Dynamical Spin Chain and 4-Loop Integrability in N=6 Superconformal Chern-Simons Theory
• Discrete Hirota dynamics for AdS/CFT
• Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
• Quantum Scattering of Giant Magnons
• Scattering of single spikes
• A New and Elementary CP^n Dyonic Magnon
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• Giant Magnons on CP^3 by Dressing Method
• Finite-size Effect of the Dyonic Giant Magnons in N=6 super Chern-Simons Theory
• Dressed Giant Magnons on CP^3
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• On the worldsheet theory of the type IIA AdS(4) x CP(3) superstring
• Factorized Tree-level Scattering in AdS_4 x CP^3
• Konishi at strong coupling from ABE
• Off-shell symmetry algebra of the AdS_4 x CP^3 superstring

Cited by in corpus (11)

• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Full Lagrangian and Hamiltonian for quantum strings on AdS_4 x CP^3 in a near plane wave limit
• Integrability of N=6 Chern-Simons Theory at Six Loops and Beyond
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• The Relativistic Avatars of Giant Magnons and their S-Matrix
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• The Leading Order Dressing Phase in ABJM Theory
• Giant Magnons in Symmetric Spaces: Explicit N-soliton solutions for CP^n, SU(n) and S^n
• On the absence of reflection in AdS4/CFT3
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons