Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J

Abstract

This paper studies giant magnons in AdS_4 x CP^3 using both the string sigma-model and the algebraic curve. We complete the dictionary of solutions by finding the dyonic generalisation of the CP^1 string solution, which matches the `small' giant magnon in the algebraic curve, and by pointing out that the solution recently constructed by the dressing method is the `big' giant magnon. We then use the curve to compute finite-J corrections to all cases, which for the non-dyonic cases always match the AFZ result. For the dyonic RP^3 magnon we recover the S^5 answer, but for the `small' and `big' giant magnons we obtain new corrections.

22 pages, 3 figures, 2 tables. v2 adds note on breather solution, and minor clarifications

References in corpus (35)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Giant Magnons
• 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
• Finite-size Effects from Giant Magnons
• 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
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• Magnon Bound States and the AdS/CFT Correspondence
• Dyonic Giant Magnons
• Wrapping interactions at strong coupling -- the giant magnon
• The AdS4/CFT3 algebraic curve
• Infinite spin limit of semiclassical string states
• Integrable Spin Chain in Superconformal Chern-Simons Theory
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Dressing the Giant Magnon
• Worldsheet spectrum in AdS(4)/CFT(3) correspondence
• Gauge invariant finite size spectrum of the giant magnon
• Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory
• Finite-Size Effects for Dyonic Giant Magnons
• Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory
• Magnons, their Solitonic Avatars and the Pohlmeyer Reduction
• Finite size effects for giant magnons on physical strings
• Neumann-Rosochatius integrable system for strings on AdS_4 x CP^3
• Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections
• Efficient precision quantization in AdS/CFT
• Spiky Strings on AdS(4) X CP**3
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• Giant Magnons on CP^3 by Dressing Method
• Dressed Giant Magnons on CP^3
• Finite-size Effect of the Dyonic Giant Magnons in N=6 super Chern-Simons Theory
• Giant Magnons and Singular Curves
• Finite size giant magnons and interactions

Cited by in corpus (32)

• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• Towards integrability for AdS3/CFT2
• Simplifying superstring and D-brane actions in AdS(4) x CP(3) superbackground
• TBA and Y-system for planar $Ad{S}_4/CF{T}_3$
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• The AdS(5)xS(5) Semi-Symmetric Space Sine-Gordon Theory
• Generalized Dynamical Spin Chain and 4-Loop Integrability in N=6 Superconformal Chern-Simons Theory
• Correlation functions of magnon and spike
• A New and Elementary CP^n Dyonic Magnon
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• Correlation function of dyonic strings
• Full Lagrangian and Hamiltonian for quantum strings on AdS_4 x CP^3 in a near plane wave limit
• Dressed Giant Magnons on CP^3
• 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
• On the spectral problem of N=4 SYM with orthogonal or symplectic gauge group
• Finite size effect on the magnon's correlation functions
• The Relativistic Avatars of Giant Magnons and their S-Matrix
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• Scattering of Giant Magnons in CP^3
• Multispin magnons on deformed $Ad{S}_3\times S^3$
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• The Near-Flat-Space and BMN Limits for Strings in AdS4 x CP3 at One Loop
• Rotating Strings in AdS(4) X CP(3) with B-NS holonomy
• On the absence of reflection in AdS4/CFT3
• A note on strings in deformed AdS_4 x CP3: giant magnon and single spike solutions
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons
• Correlation functions of the ABJM model
• Wrapping effects in supersymmetric gauge theories
• Finite-size Effect for Dyonic Giant Magnons in $C{P}_{\beta }^3$
• Worldsheet one-loop energy correction to IIA Giant Magnon