Magnon bound states and the AdS/CFT correspondence

By N. Dorey. 2006

260 citations recorded by the source corpus.

We study the spectrum of asymptotic states in the spin-chain description of planar SUSY Yang–Mills. In addition to elementary magnons, the asymptotic spectrum includes an infinite tower of multi-magnon bound states with an exact dispersion relation where the positive integer Q is the number of constituent magnons. These states account precisely for the known poles in the exact S-matrix. Like the elementary magnon, they transform in small representations of supersymmetry and are present for all values of the 't Hooft coupling. At strong coupling we identify the dual states in semiclassical string theory.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/7f5adc1bbadc28be5b8003d91744df563115c978

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Citations in the corpus

Dyonic giant magnons (2006, methodology): “In the case of boundstates with momentum p = π, the relevant configuration was already obtained in [11] as a limit of the two-spin folded string solution of [12, 13].”
Finite-size effects from giant magnons (2006, methodology): “In the infinite J limit this configuration reduces to the two-spin giant magnon solution of [ 39 ].”
Spiky strings and giant magnons on S5 (2006, unknown): “However, some other important string configurations such as strings with spikes [15, 16] and (bound states of) giant magnons [17, 18, 19] (see also [20, 21]) were not found using an NR-type system.”
Four-loop perturbative Konishi from strings and finite size effects for multiparticle states (2008, background): “It is well known that the physical bound states in the conventional theory are the ones appearing in the su(2) sector [52, 53].”
Foundations of the AdS5 × S5 superstring: I (2009, background): “The analysis reveals that all bound states are those of elementary particles [37].”
Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model (2009, background): “In addition, there are Q-particles, which can be thought of as bound states of Q elementary particles [2].”
The analytic Bethe ansatz for a chain with centrally extended symmetry (2006, background): “64) As noted in [39], the condition C(2) = 1 is met when (3.”
String hypothesis for the AdS5 × S5 mirror (2009, background): “Analysis reveals that all bound states are those of elementary particles [30], and comprise into the tensor product of two 4Q-dim atypical totally symmetric multiplets of the centrally-extended symmetry algebra su(2|2) [31].”
Towards integrability for AdS 3 / CFT 2 ?> (2014, background): “This was expected based on what happens in AdS5/CFT4, see ref.”
A Crossing-Symmetric Phase for AdS5 x S5 Strings (2006, unknown): “m, with [33, 26] x+1(k) = x (−m+2k) 1 , x − 1(k) = x (−m+2k−2) 1 , (4.”
Three-dimensional N=6 SCFT's and their membrane dynamics (2008, result): “[89] N. Dorey, “Magnon bound states and the AdS/CFT correspondence,” J. Phys.”
Dressing the Giant Magnon (2006, background): “In [21] a solution describing a giant magnon moving on R × S(3) with two angular momenta was constructed, after the existence of such a state had been shown, and a particular case considered, in [22].”
On string S-matrix, bound states and TBA (2007, background): “No non-BPS bound states exist, according to [50]-[52].”