The Asymptotic Spectrum of the N=4 Super Yang-Mills Spin Chain

Abstract

In this paper we discuss the asymptotic spectrum of the spin chain description of planar N=4 SUSY Yang-Mills. The states appearing in the spectrum belong to irreducible representations of the unbroken supersymmetry SU(2|2) x SU(2|2) with non-trivial extra central extensions. The elementary magnon corresponds to the bifundamental representation while boundstates of Q magnons form a certain short representation of dimension 16Q^{2}. Generalising the Beisert's analysis of the Q=1 case, we derive the exact dispersion relation for these states by purely group theoretic means.

17 pages, No figure

References in corpus (5)

• Giant Magnons
• Magnon Bound States and the AdS/CFT Correspondence
• Dyonic Giant Magnons
• Infinite spin limit of semiclassical string states
• Dressing the Giant Magnon

Cited by in corpus (35)

• On String S-matrix, Bound States and TBA
• The all loop AdS4/CFT3 Bethe ansatz
• Quantum Deformations of the One-Dimensional Hubbard Model
• On the Singularities of the Magnon S-matrix
• The S-matrix of String Bound States
• Reflecting magnons
• Dressing phases of AdS3/CFT2
• The Dressing Factor and Crossing Equations
• The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure
• Finite-Size Effects for Dyonic Giant Magnons
• Classical r-matrix of the su(2|2) SYM spin-chain
• A Quantum Affine Algebra for the Deformed Hubbard Chain
• A Yangian Double for the AdS/CFT Classical r-matrix
• The Classical Trigonometric r-Matrix for the Quantum-Deformed Hubbard Chain
• Geometry and topology of bubble solutions from gauge theory
• Large Winding Sector of AdS/CFT
• A Relativistic Relative of the Magnon S-Matrix
• Correlation functions of magnon and spike
• Quantum Scattering of Giant Magnons
• Yangian symmetry of the Y=0 maximal giant graviton
• Singularities of the Magnon Boundstate S-Matrix
• Finite size corrections for open strings/open chains in planar AdS/CFT
• Neumann and Neumann-Rosochatius integrable systems from membranes on AdS_4xS^7
• Semiclassical Quantization of the Giant Magnon
• Correlation function of dyonic strings
• On Yangian and Long Representations of the Centrally Extended su(2|2) Superalgebra
• Finite size effect on the magnon's correlation functions
• Yangian symmetry of boundary scattering in AdS/CFT and the explicit form of bound state reflection matrices
• On the reflection of magnon bound states
• The Bethe Ansatz for AdS5 x S5 Bound States
• Scattering of Giant Magnons in CP^3
• Spin chain from membrane and the Neumann-Rosochatius integrable system
• Conformal SO(2,4) Transformations for the Helical AdS String Solution
• Giant Spinons
• Classical Lie Bialgebras for AdS/CFT Integrability by Contraction and Reduction