Dressed Giant Magnons on CP^3

Abstract

A new example of AdS/CFT duality relating IIA string theory on AdS_4 x CP^3 to N=6 superconformal Chern-Simons theory has recently been provided by ABJM. By now a number of papers have considered particular giant magnon classical string solutions in the CP^3 background, corresponding to excitations in the spin chain picture of the dual field theory. In this paper we apply the CP^3 = SU(4)/S(U(3) x U(1)) dressing method to the problem of constructing general classical string solutions describing various configurations of giant magnons. As a particular application we present a new giant magnon solution on CP^3. Interestingly the dressed solution carries only a single SO(6) charge, in contrast with the dyonic magnons found in previous applications of the dressing method.

13 pages, harvmac; v3: fixed misstatement of the dispersion relation(!), v3: typos fixed and a few clarifying remarks added

References in corpus (58)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• Giant Magnons
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• Notes on Superconformal Chern-Simons-Matter Theories
• 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 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
• Selfdual strings and loop space Nahm equations
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• Wilson loops in 3-dimensional N=6 supersymmetric Chern-Simons Theory and their string theory duals
• Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
• 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
• Three-dimensional N=6 SCFT's and their membrane dynamics
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• 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
• Integrable Spin Chain in Superconformal Chern-Simons Theory
• Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory
• Generating AdS String Solutions
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• AdS4/CFT3 at One Loop
• Dressing the Giant Magnon
• Exploring Pure Spinor String Theory on AdS_4 x CP^3
• Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory
• Dressing the Giant Magnon II
• Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory
• Solitons and AdS String Solutions
• Magnons, their Solitonic Avatars and the Pohlmeyer Reduction
• Pure Spinor Formalism for Osp(N|4) backgrounds
• Semi-classical strings in AdS_4*CP^3
• 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
• 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
• Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
• UV-divergences of Wilson Loops for Gauge/Gravity Duality
• Scattering of single spikes
• Finite-size effects of Membranes on AdS_4 x S_7
• A New and Elementary CP^n Dyonic Magnon
• A note on the reduction of the AdS4 x CP3 string sigma model
• Dressing the Giant Gluon
• Giant Magnons on CP^3 by Dressing Method
• Finite-size Effect of the Dyonic Giant Magnons in N=6 super Chern-Simons Theory
• Giant Magnon and Spike Solutions with Two Spins in AdS4xCP3
• Wilson Loops in 3d QFT from D-branes in AdS(4) x CP**3
• Exact solutions for N-magnon scattering
• N-body Dynamics of Giant Magnons in RxS2
• BPS operators from the Wilson loop in the 3-dimensional supersymmetric Chern-Simons theory

Cited by in corpus (21)

• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• Simplifying superstring and D-brane actions in AdS(4) x CP(3) superbackground
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
• Correlation functions of magnon and spike
• A New and Elementary CP^n Dyonic Magnon
• Correlation function of dyonic strings
• Full Lagrangian and Hamiltonian for quantum strings on AdS_4 x CP^3 in a near plane wave limit
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• Finite size effect on the magnon's correlation functions
• 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 $Ad{S}_3\times S^3$
• Giant Magnons in Symmetric Spaces: Explicit N-soliton solutions for CP^n, SU(n) and S^n
• A note on strings in deformed AdS_4 x CP3: giant magnon and single spike solutions
• Correlation functions of the ABJM model
• Wrapping effects in supersymmetric gauge theories
• Giant Spinons
• BPS solution for eleven-dimensional supergravity with a conical defect configuration
• Classical strings in $Ad{S}_4\times {\mathbb{CP}}^3$ with three angular momenta