Classical/quantum integrability in AdS/CFT

By Vladimir Kazakov, A. Marshakov, J. Minahan, K. Zarembo. 2004

234 citations recorded by the source corpus.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b18c9602466c759be5a6b08dbbc07f3369060beb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. S. Frolov
2. G. Arutyunov
3. A. Tseytlin
4. N. Beisert
5. R. Roiban
6. M. Staudacher
7. A. Sever
8. P. Vieira

In Nuclear and High Energy Physics

1. S. Frolov
2. A. Tseytlin
3. G. Arutyunov
4. R. Roiban
5. N. Beisert
6. M. Staudacher
7. L. Alday
8. K. Zarembo

Citations in the corpus

• Quantum corrections to the string Bethe ansatz (2006, background): “The integral equations satisfied by the spectral density for the Lax operator are the string analogue of the Bethe equations for the gauge theory dilatation operator in the thermodynamic limit [10].”
• Symmetries of Tree-level Scattering Amplitudes in N = 6 Superconformal Chern{Simons Theory (2010, background): “In the study of the spectrum on both sides of these two correspondences, the discovery of integrability [3–9] in the planar limit has been of crucial importance, and has lead to the belief that the planar theories might be exactly solvable.”
• Beauty and the twist: the Bethe ansatz for twisted = 4 SYM (2005, methodology): “have to repeat the construction of the spectral curve and the finite gap method of [ 35 ] for the twisted model proposed in [12].”
• Superstrings on AdS4 × ℂℙ3 as a coset sigma-model (2008, background): “ it would be interesting to see to which extend this symmetry of the light-cone Hamiltonian can be used to fix the form of the scattering matrix. Finite-gap solutions (including fermionic excitations) [18] could be also investigated with the goal of reconstructing the data of the string S-matrix unde”
• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory (2009, unknown): “d contain the Hamiltonian of the system. Integrability on the string side has been established at the level of the classical theory, where again an infinite set of conserved charges may be constructed [5, 8]. A number of positive tests of the Bethe equations in the strong coupling limit have been per”
• Spiky strings and giant magnons on S5 (2006, unknown): “While the integrability of the classical string sigma model implies a general description of the (“finite-gap”) classical solutions in terms of solutions of certain integral equations [ 10 ], it is still important to find explicitly more generic yet simple string solutions and identify their corresp”
• On one-loop correction to energy of spinning strings in S**5 (2004, background): “Moreover, it was checked on specific examples [10, 11, 12, 18] and also in general [19, 20 , 21] that the expressions for a1 and a2 match the coefficients”
• Y-system for scattering amplitudes (2010, background): “in [5]) by a gauge transformation by the group element g.”
• Transcendentality and crossing (2006, result): “by comparison to an integral equation describing classical solutions [ 20 ].”
• Pulsating strings on Ads(5) x S(5) (2004, background): “those on the gauge side (at the 1-loop level). In our case, the 1-loop resolvent is (2.10). On the string side, the corresponding generator is essentially given by the quasi-momentum, as discussed in [65]. In this section, we will follow the procedure outlined in [65] to exhibit the quasi-momentum f”