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Author

Zoltan Bajnok

Other affiliations: Eötvös Loránd University
Bio: Zoltan Bajnok is an academic researcher from Hungarian Academy of Sciences. The author has contributed to research in topics: Boundary (topology) & Boundary value problem. The author has an hindex of 30, co-authored 85 publications receiving 4582 citations. Previous affiliations of Zoltan Bajnok include Eötvös Loránd University.


Papers
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Journal ArticleDOI
TL;DR: In this article, the authors present an overview of the achievements and the status of integrability in the context of the AdS/CFT correspondence as of the year 2010.
Abstract: This is the introductory chapter of a review collection on integrability in the context of the AdS/CFT correspondence. In the collection we present an overview of the achievements and the status of this subject as of the year 2010.

1,564 citations

Journal ArticleDOI
TL;DR: In this article, the authors present an overview of the achievements and the status of integrability in the context of the AdS/CFT correspondence as of the year 2010.
Abstract: This is the introductory chapter of a review collection on integrability in the context of the AdS/CFT correspondence. In the collection we present an overview of the achievements and the status of this subject as of the year 2010.

350 citations

Journal ArticleDOI
TL;DR: In this paper, the perturbative four loop anomalous dimension of the Konishi operator in N = 4 SYM theory was derived from the integrable string sigma model by evaluating the finite size effects using Luscher formulas adapted to multimagnon states at weak coupling.

348 citations

Journal ArticleDOI
TL;DR: The anomalous dimensions of twist two operators have to satisfy certain consistency requirements derived from BFKL for N = 4 SYM, and it was shown in this paper that at four loops, the anomalous dimension derived from the all-loop asymptotic Bethe ansatz do not pass this test.

226 citations


Cited by
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Journal ArticleDOI
TL;DR: In this article, the authors present an overview of the achievements and the status of integrability in the context of the AdS/CFT correspondence as of the year 2010.
Abstract: This is the introductory chapter of a review collection on integrability in the context of the AdS/CFT correspondence. In the collection we present an overview of the achievements and the status of this subject as of the year 2010.

1,564 citations

01 Aug 1993
TL;DR: One-dimensional Bose-gas One-dimensional Heisenberg magnet Massive Thirring model Classical r-matrix Fundamentals of inverse scattering method Algebraic Bethe ansatz Quantum field theory integral models on a lattice Theory of scalar products Form factors Mean value of operator Q Assymptotics of correlation functions Temperature correlation functions Appendices References as discussed by the authors
Abstract: One-dimensional Bose-gas One-dimensional Heisenberg magnet Massive Thirring model Classical r-matrix Fundamentals of inverse scattering method Algebraic Bethe ansatz Quantum field theory integral models on a lattice Theory of scalar products Form factors Mean value of operator Q Assymptotics of correlation functions Temperature correlation functions Appendices References.

1,491 citations

01 Jan 1978
TL;DR: In this paper, the high energy asymptotic form of the scattering amplitude of colorless particles in quantum chromodynamics is obtained in the leading logarithmic approximation, and it is argued that such a calculation is justified for the amplitudes of scattering in which charmed quarks participate.
Abstract: The high-energy asymptotic form of the scattering amplitude of colorless particles in quantum chromodynamics is obtained in the leading logarithmic approximation. It is argued that such a calculation is justified for the amplitudes of scattering in which charmed quarks participate. The cross section for formation of two pairs of charmed quarks in ..gamma gamma.. collisions is found in explicit form.

620 citations

Journal ArticleDOI
TL;DR: An infinite set of integral non-linear equations for the spectrum of states/operators in AdS/CFT are derived and it is proved that all the kernels and free terms entering these TBA equations are real and have nice fusion properties in the relevant mirror kinematics.
Abstract: Using the thermodynamic Bethe ansatz method we derive an infinite set of integral non-linear equations for the spectrum of states/operators in AdS/CFT. The Y-system conjectured in Gromov et al. (Integrability for the Full Spectrum of Planar AdS/CFT. arXiv:0901.3753 [hep-th]) for the spectrum of all operators in planar N = 4 SYM theory follows from these equations. In particular, we present the integral TBA type equations for the spectrum of all operators within the sl(2) sector. We prove that all the kernels and free terms entering these TBA equations are real and have nice fusion properties in the relevant mirror kinematics. We find the analog of DHM formula for the dressing kernel in the mirror kinematics.

545 citations

Journal ArticleDOI
TL;DR: In this article, the dual superconformal generators of planar = 4 super Yang-Mills theory were shown to transform covariantly with respect to a ''dual'' symmetry algebra psu(2,2|4) for tree-level scattering amplitudes.
Abstract: Tree-level scattering amplitudes in = 4 super Yang-Mills theory have recently been shown to transform covariantly with respect to a `dual' superconformal symmetry algebra, thus extending the conventional superconformal symmetry algebra psu(2,2|4) of the theory. In this paper we derive the action of the dual superconformal generators in on-shell superspace and extend the dual generators suitably to leave scattering amplitudes invariant. We then study the algebra of standard and dual symmetry generators and show that the inclusion of the dual superconformal generators lifts the psu(2,2|4) symmetry algebra to a Yangian. The non-local Yangian generators acting on amplitudes turn out to be cyclically invariant due to special properties of psu(2,2|4). The representation of the Yangian generators takes the same form as in the case of local operators, suggesting that the Yangian symmetry is an intrinsic property of planar = 4 super Yang-Mills, at least at tree level.

520 citations