Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory

Abstract

We find the exact solution for a finite size Giant Magnon in the $SU(2)\times SU(2)$ sector of the string dual of the $\mathcal{N}=6$ superconformal Chern-Simons theory recently constructed by Aharony, Bergman, Jafferis and Maldacena. The finite size Giant Magnon solution consists of two magnons, one in each $SU(2)$. In the infinite size limit this solution corresponds to the Giant Magnon solution of arXiv:0806.4959. The magnon dispersion relation exhibits finite-size exponential corrections with respect to the infinite size limit solution.

11 pages, the orbifold case is discussed

References in corpus (23)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
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• Modeling Multiple M2's
• Comments on Multiple M2-branes
• Giant Magnons
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• Membranes on an Orbifold
• Selfdual strings and loop space Nahm equations
• Wrapping interactions at strong coupling -- the giant magnon
• Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras
• N = 8 Superconformal Chern--Simons Theories
• M2-branes on M-folds
• Gauge invariant finite size spectrum of the giant magnon
• Aspects of Multiple Membranes
• Finite size effects for giant magnons on physical strings
• Finite Size Giant Magnon
• Zero modes for the giant magnon

Cited by in corpus (64)

• The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
• Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry
• N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations
• 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
• The AdS4/CFT3 algebraic curve
• On deformed gauge theories and their string/M-theory duals
• 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
• Simplifying superstring and D-brane actions in AdS(4) x CP(3) superbackground
• TBA and Y-system for planar $Ad{S}_4/CF{T}_3$
• ABJM models in N=3 harmonic superspace
• Magnons, their Solitonic Avatars and the Pohlmeyer Reduction
• Pure Spinor Formalism for Osp(N|4) backgrounds
• Neumann-Rosochatius integrable system for strings on AdS_4 x CP^3
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes
• Topological branes, p-algebras and generalized Nahm equations
• Superstrings on AdS_4 x CP^3 from Supergravity
• Generalized Dynamical Spin Chain and 4-Loop Integrability in N=6 Superconformal Chern-Simons Theory
• Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
• Correlation functions of magnon and spike
• Finite-size effects of Membranes on AdS_4 x S_7
• A New and Elementary CP^n Dyonic Magnon
• A note on dual giant gravitons in $Ad{S}_4\times {\mathbb{CP}}^3$
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• Correlation function of dyonic strings
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• Full Lagrangian and Hamiltonian for quantum strings on AdS_4 x CP^3 in a near plane wave limit
• 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
• Dressed Giant Magnons on CP^3
• Generalized Conformal Symmetry and Recovery of SO(8) in Multiple M2 and D2 Branes
• The worldsheet low-energy limit of the AdS_4 x CP^3 superstring
• Integrability of N=6 Chern-Simons Theory at Six Loops and Beyond
• Numerical results for the exact spectrum of planar AdS4/CFT3
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• D2 to M2 Procedure for D2-Brane DBI Effective Action
• Finite size effect on the magnon's correlation functions
• M2-branes on a resolved $C_4/Z_4$
• Bagger-Lambert theory on an orbifold and its relation to Chern-Simons-matter theories
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• Wilson Loops in 3d QFT from D-branes in AdS(4) x CP**3
• On the pulsating strings in AdS_4 x CP3
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• Near Flat Space limit of strings on AdS_4 x CP^3
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• On thermodynamics of N=6 superconformal Chern-Simons theories at strong coupling
• Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory
• Zero Modes for the Boundary Giant Magnons
• Spin chain for the deformed ABJM theory
• Semiclassical strings in AdS(3) X S^2
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons
• Correlation functions of the ABJM model
• Wrapping effects in supersymmetric gauge theories
• Giant Spinons
• Finite size effect from classical strings in $Ad{S}_3\times S^3$ with NS-NS flux
• Finite Size Effect from Classical Strings in deformed AdS${}_3\times$ S${}^3$
• Finite-size Effect for Dyonic Giant Magnons in $C{P}_{\beta }^3$
• On finite-size spiky strings in $Ad{S}_3\times S^3\times T^4$ with mixed fluxes
• Worldsheet one-loop energy correction to IIA Giant Magnon