The dilatation operator of N= 4 super Yang–Mills theory and integrability

N Beisert - Physics Reports, 2004 - Elsevier
In this work we review recent progress in four-dimensional conformal quantum field theories
and scaling dimensions of local operators. Here we consider the example of maximally …

Spinning strings and integrable spin chains in the AdS/CFT correspondence

J Plefka - Living Reviews in Relativity, 2005 - Springer
In this introductory review we discuss dynamical tests of the AdS 5× S 5 string/\mathcalN=4
Super Yang-Mills duality. After a brief introduction to AdS/CFT, we argue that semiclassical …

Foundations of the AdS5× S5 superstring: I

G Arutyunov, S Frolov - Journal of Physics A: Mathematical and …, 2009 - iopscience.iop.org
We review the recent advances towards finding the spectrum of the AdS 5× S 5 superstring.
We thoroughly explain the theoretical techniques which should be useful for the ultimate …

Lax pair for strings in Lunin-Maldacena background

S Frolov - Journal of High Energy Physics, 2005 - iopscience.iop.org
Abstract Recently Lunin and Maldacena used an SL (3, Bbb R) transformation of the AdS 5×
S 5 background to generate a supergravity solution dual to a so-called β-deformation of …

Bethe ansatz for quantum strings

G Arutyunov, S Frolov… - Journal of High Energy …, 2004 - iopscience.iop.org
We propose Bethe equations for the diagonalization of the hamiltonian of quantum strings
on AdS 5× S 5 at large string tension and restricted to certain large charge states from a …

Integrability and the AdS 3/CFT 2 correspondence

A Babichenko, B Stefański, K Zarembo - Journal of High Energy Physics, 2010 - Springer
We investigate the AdS 3/CFT 2 correspondence for theories with 16 supercharges using
the integrability approach. We construct Green-Schwarz actions for Type IIB strings on AdS …

On deformations and supersymmetry

M Baggio, A Sfondrini… - Journal of High Energy …, 2019 - Springer
A bstract We investigate the “\(T\overline {T}\)” deformations of two-dimensional
supersymmetric quantum field theories. More precisely, we show that, by using the …

Tailoring three-point functions and integrability

J Escobedo, N Gromov, A Sever, P Vieira - Journal of High Energy Physics, 2011 - Springer
We use integrability techniques to compute structure constants in\(\mathcal {N}= 4\) SYM to
leading order at weak coupling and to leading order in the planar expansion. Three closed …

Gauge-string duality for superconformal deformations of N= 4 super Yang-Mills theory

SA Frolov, R Roiban, AA Tseytlin - Journal of High Energy …, 2005 - iopscience.iop.org
We analyze in detail the relation between an exactly marginal deformation of Script N= 4
SYM—the Leigh-Strassler or``β-deformation''—and its string theory dual (recently …

[HTML][HTML] Finite-size effects from giant magnons

G Arutyunov, S Frolov, M Zamaklar - Nuclear Physics B, 2007 - Elsevier
In order to analyze finite-size effects for the gauge-fixed string sigma model on AdS5× S5,
we construct one-soliton solutions carrying finite angular momentum J. In the infinite J limit …