Giant Spinons

Abstract

We study the spectrum around the "antiferromagnetic" states of the planar AdS_5/CFT_4 duality. In contrast to the familiar large-spin limit J \to \infty where each magnon momentum scales as p \sim 1/J << 1, we consider a novel "large-winding" limit in which the total momentum becomes infinitely large, \sum_j p_j \to \infty. Upon taking the limit we identify "spinon" excitations of both gauge and string theories. In particular, a (classical) string spinon turns out to be an infinite set of spiky strings, which are closely related to well-known infinite-spin strings: giant magnons. Furthermore, we show that the curious agreement of scattering phase-shifts of two spikes and that of two giant magnons can be accounted for by regarding the spinon scattering as factorised scatterings of infinitely many magnons.

24 pages, 4 figures; Added minor clarifications and references; Version to appear in JHEP.

References in corpus (47)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Transcendentality and Crossing
• Giant Magnons
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• 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
• The all loop AdS4/CFT3 Bethe ansatz
• On AdS_5 x S^5 String S-matrix
• Dyonic Giant Magnons
• On the Singularities of the Magnon S-matrix
• N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations
• 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
• Infinite spin limit of semiclassical string states
• Integrable Spin Chain in Superconformal Chern-Simons Theory
• 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
• Single spike solutions for strings on S2 and S3
• A Perspective on Classical Strings from Complex Sine-Gordon Solitons
• Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory
• Dressing the Giant Magnon II
• Comment on the Scaling Function in AdS4 x CP3
• Magnons, their Solitonic Avatars and the Pohlmeyer Reduction
• Neumann-Rosochatius integrable system for strings on AdS_4 x CP^3
• The Asymptotic Spectrum of the N=4 Super Yang-Mills Spin Chain
• 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
• Magnon Bound-state Scattering in Gauge and String Theory
• Large Winding Sector of AdS/CFT
• Hubbard's Adventures in $\mathcal{N}=4$ SYM-land? Some non-perturbative considerations on finite length operators
• Scattering of single spikes
• Dual Spikes; New Spiky String Solutions
• 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
• On the commuting charges for the highest dimension SU(2) operators in planar $\mathcal{N}=4$ SYM
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• Finite-size Effects for Single Spike
• Nesting and Dressing
• From nesting to dressing
• Vibrating giant spikes and the large-winding sector

Cited by in corpus (3)

• Massless sector of AdS_3 superstrings: a geometric interpretation
• Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes
• The Omega-Infinity Limit of Single Spikes