Singularities of the magnon S matrix

By N. Dorey, D. Hofman, J. Maldacena. 2007

150 citations recorded by the source corpus.

We investigate, the analytic structure of the magnon S matrix in the spin-chain description of planar Ν = 4 SUSY Yang-Mills/AdS 5 X S 5 strings. Semiclassical analysis suggests that the exact S matrix must have a large family of poles near the real axis in momentum space. In this article we show that these are double poles corresponding to the exchange of pairs of Bogomol'nyi-Prasad-Sommerfield (BPS) magnons. Their locations in the complex plane are uniquely fixed by the known dispersion relation for the BPS particles. The locations precisely agree with the recent conjecture for the S matrix by Beisert, Hernandez, Lopez, Eden, and Staudacher (J. High Energy Phys. 11 (2006) 070 and J. Stat. Mech. 01 (2007) P021). These poles do not signal the presence of new bound states. In fact, a certain non-BPS localized classical solution, which was thought to give rise to new bound states, can actually decay into a pair of BPS magnons.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/54c74c8ab0f5f6d630e805ae64c8a5fe0a120609

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Citations in the corpus

Wrapping interactions at strong coupling: The giant magnon (2007, unknown): “22 08 ∗e-mail: ufrjanik@if.uj.edu.pl †e-mail: tomaszlukowski@gmail.com”
Integrability and the AdS3/CFT2 correspondence (2009, unknown): “The BES/BHL phase [62] admits the following integral representation [63]:”
Extended Y-system for the AdS5/CFT4 correspondence (2010, background): “13), ΣQ′Q is the improved dressing factor [47] evaluated in the mirror kinematics [48].”
Dressing the Giant Magnon (2006, background): “This has been pointed out in [37], where the implications of this fact for the singularity structure of the magnon S-matrix have been clarified.”
The quark anti-quark potential and the cusp anomalous dimension from a TBA equation (2012, background): “This ‘DHM’ representation [53] of the solution for the crossing equation is valid for |x| > 1.”
Dressing and wrapping (2007, unknown): “Furthermore, the analytic structure of the dressing phase fits well a semi-classical analysis [ 46 ].”
Notes on superconformal Chern-Simons-Matter theories (2007, background): “(For a sample of recent advances see [5,6,7,8,9,10,11,12,13].”
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].”
On string S-matrix, bound states and TBA (2007, background): “No non-BPS bound states exist, according to [50]-[ 52 ].”