Finite-size Effect of the Dyonic Giant Magnons in N=6 super Chern-Simons Theory

Abstract

We consider finite-size effects for the dyonic giant magnon of the type IIA string theory on AdS_4 x CP^3 by applying Luscher mu-term formula which is derived from a recently proposed S-matrix for the N=6 super Chern-Simons theory. We compute explicitly the effect for the case of a symmetric configuration where the two external bound states, each of A and B particles, have the same momentum p and spin J_2. We compare this with the classical string theory result which we computed by reducing it to the Neumann-Rosochatius system. The two results match perfectly.

15 pages, References added

References in corpus (30)

• 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 $Ad{S}_4\times C{P}^3$
• Superstrings on AdS_4 x CP^3 as a Coset Sigma-model
• The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
• 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
• On Type IIA Penrose Limit and N=6 Chern-Simons Theories
• 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
• 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 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
• AdS4/CFT3 at One Loop
• Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory
• Finite-Size Effects for Dyonic Giant Magnons
• Neumann-Rosochatius integrable system for strings on AdS_4 x CP^3
• 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
• Finite-Size Effects for Multi-Magnon States
• Finite-size effects of Membranes on AdS_4 x S_7
• Giant Magnon and Spike Solutions with Two Spins in AdS4xCP3

Cited by in corpus (22)

• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• TBA and Y-system for planar $Ad{S}_4/CF{T}_3$
• ABJM models in N=3 harmonic superspace
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
• Lectures on S-matrices and Integrability
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• Full Lagrangian and Hamiltonian for quantum strings on AdS_4 x CP^3 in a near plane wave limit
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• Dressed Giant Magnons on CP^3
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• Scattering of Giant Magnons in CP^3
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory
• Semiclassical strings in AdS(3) X S^2
• Finite-size Giant Magnons on AdS_4 x CP^3_γ
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons
• Wrapping effects in supersymmetric gauge theories
• Neumann-Rosochatius system for strings in ABJ Model
• P-Branes Dynamics, AdS/CFT and Correlation Functions