The su(2|2) dynamic S-matrix

By N. Beisert. 2005

784 citations recorded by the source corpus.

We derive and investigate the S-matrix for the su(2|3) dynamic spin chain and for planar N = 4 super Yang–Mills. Due to the large amount of residual symmetry in the excitation picture, the S-matrix turns out to be fully constrained up to an overall phase. We carry on by diagonalizing it and obtain Bethe equations for periodic states. This proves an earlier proposal for the asymptotic Bethe equations for the su(2|3) dynamic spin chain and for N = 4 SYM.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/081fa34c10dec8923487b6fbd5921231811a436a

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Citations in the corpus

Extended Y-system for the AdS5/CFT4 correspondence (2010, methodology): “In integrable system language, the ABA equations (Beisert and Staudacher’s [6] with the final dressing phase [7]) are the analogue of the Bethe–Yang equations for scattering models describing the quantisation of momenta for a finite number of interacting particles living on a ring with very large ci”
Pohlmeyer reduction of AdS5×S5 superstring sigma model (2007, methodology): “In contrast to the case of the original AdS5 × S(5) superstring expanded near the S(5) geodesic in the light-cone gauge where one scatters “magnons” which are small fluctuations of the superstring coordinates and the remaining symmetry is [PSU(2|2)](2) [11, 10], here we scatter the fluctuations of t”
String hypothesis for the AdS5 × S5 mirror (2009, background): “An important observation made in [14] is that the dispersion relation for fundamental particles is uniquely determined by the symmetry algebra of the model.”
Dyonic giant magnons (2006, background): “On both sides of the correspondence the limiting theory is characterised by a centrally-extended SU(2|2)× SU(2|2) supergroup which strongly constrains the spectrum and S-matrix [7].”
Five loop Konishi from AdS/CFT (2009, background): “ in the (spin-chain) S-matrix language in [18, 19], culminating in a proposal for the all loop Asymptotic Bethe Ansatz [19] the derivation of the (spin-chain) S-matrix from global symmetry properties [20]. In fact, this derivation could be transformed in a verbatim way into a starting point for the ”
Three-dimensional N=6 SCFT's and their membrane dynamics (2008, result): “Combining weak-coupling results [17, 22] with the analysis of the Penrose limit of the theory [22, 23], and assuming that symmetry arguments along the lines of [86] also hold in this setup, the giant magnon dispersion relation has been conjectured to be given by [22, 23].”
The AdS 5 ×S 5 superstring worldsheet S matrix and crossing symmetry (2006, background): “In [26] the S-matrix has been considered mainly with explicit (centrallyextended) su(2|2) symmetry.”
Strings with non-relativistic conformal symmetry and limits of the AdS/CFT correspondence (2018, background): “The dispersion relation of a single magnon in N = 4 SYM is [3] E −Q = √”
Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model (2009, background): “In the infinite L limit the symmetries of the model are powerful enough to determine the matrix structure of both the fundamental S-matrix [3, 4] and the S-matrices of Qparticles [5, 6].”
Integrable Wilson loops (2012, background): “Up to an overall scalar phase, S0, all the terms in this matrix are fixed by symmetry [81, 82].”
Four-loop perturbative Konishi from strings and finite size effects for multiparticle states (2008, background): “In particular the S-matrix for the excitations is the same in both cases [15] including the overall scalar factor (the so-called ‘dressing factor’) which interpolates between strong and weak coupling, the absence of which was at the source of initial apparent disagreements between gauge and string t”
Quantum spectral curve for arbitrary state/operator in AdS5/CFT4 (2014, methodology): “The distinguished role of the su(2|2) sub-algebra in the asymptotic limit of the AdS/CFT spectrum is well-known; for instance, it was extensively used in the approach of factorized scattering and nested Bethe ansatz [45, 46].”
Worldsheet scattering in AdS(5) x S**5 (2006, methodology): “In other words, they directly produce momentum-dependent phase factors rather than insert length-changing markers denoted by Z ± i n [12].”
Wrapping interactions at strong coupling: The giant magnon (2007, background): “Initially its structure in various subsectors of the theory has been uncovered [8, 9], which culminated with [ 10 ] where the su(2|2) × su(2|2) ⊂ psu(2, 2|4) symmetry has been exploited to determine the S-matrix up to a scalar function”
Finite-size effects from giant magnons (2006, background): “Here, a is an arbitrary number which parametrizes the most general uniform gauge up to some trivial rescaling of the light-cone coordinates such that the light-cone momentum p− is equal to pφ + pt .”