Author
Niklas Beisert
Other affiliations: Princeton University, Technische Universität München, Kavli Institute for Theoretical Physics ...read more
Bio: Niklas Beisert is an academic researcher from ETH Zurich. The author has contributed to research in topics: Gauge theory & Yangian. The author has an hindex of 58, co-authored 140 publications receiving 19126 citations. Previous affiliations of Niklas Beisert include Princeton University & Technische Universität München.
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Albert Einstein Institution1, Ewha Womans University2, University of Oxford3, Hungarian Academy of Sciences4, CERN5, University of Savoy6, Uppsala University7, King's College London8, Petersburg Nuclear Physics Institute9, Jagiellonian University10, École Normale Supérieure11, Pierre-and-Marie-Curie University12, Princeton University13, University of Copenhagen14, University of Lyon15, University of Miami16, Imperial College London17, Pennsylvania State University18, University of California, Santa Barbara19, Humboldt University of Berlin20, Utrecht University21, University of York22, Perimeter Institute for Theoretical Physics23
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
TL;DR: In this article, the authors discuss possible phase factors for the S-matrix of planar gauge theory, leading to modifications at four-loop order as compared to an earlier proposal, and present evidence that this choice is nonperturbatively related to a recently conjectured crossing-symmetric phase factor for perturbative string theory on AdS5? S5 once the constant is fixed to a particular value.
Abstract: We discuss possible phase factors for the S-matrix of planar gauge theory, leading to modifications at four-loop order as compared to an earlier proposal. While these result in a four-loop breakdown of perturbative BMN scaling, Kotikov?Lipatov transcendentality in the universal scaling function for large-spin twist operators may be preserved. One particularly natural choice, unique up to one constant, modifies the overall contribution of all terms containing odd-zeta functions in the earlier proposed scaling function based on a trivial phase. Excitingly, we present evidence that this choice is non-perturbatively related to a recently conjectured crossing-symmetric phase factor for perturbative string theory on AdS5 ? S5 once the constant is fixed to a particular value. Our proposal, if true, might therefore resolve the long-standing AdS/CFT discrepancies between gauge and string theory.
1,128 citations
TL;DR: In this paper, it was shown that the complete one-loop planar dilatation generator of N = 4 is described by an integrable su(2,2|4) super spin chain.
970 citations
TL;DR: In this paper, the S-matrix for the su(2|3) dynamic spin chain and for planar N = 4 super Yang-Mills was derived and investigated.
Abstract: 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.
857 citations
TL;DR: In this article, the authors generalize various existing higher-loop Bethe ansatze for simple sec- tors of the integrable long-range dynamic spin chain describing planar N = 4 Super Yang-Mills Theory to the full psu(2,2|4) symmetry and, asymptotically, to arbitrary loop order.
855 citations
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TL;DR: In this paper, the authors constructed three dimensional Chern-Simons-matter theories with gauge groups U(N) × U(n) and SU(N), SU(2) × SU (2) which have explicit = 6 superconformal symmetry.
Abstract: We construct three dimensional Chern-Simons-matter theories with gauge groups U(N) × U(N) and SU(N) × SU(N) which have explicit = 6 superconformal symmetry. Using brane constructions we argue that the U(N) × U(N) theory at level k describes the low energy limit of N M2-branes probing a C4/Zk singularity. At large N the theory is then dual to M-theory on AdS4 × S7/Zk. The theory also has a 't Hooft limit (of large N with a fixed ratio N/k) which is dual to type IIA string theory on AdS4 × CP3. For k = 1 the theory is conjectured to describe N M2-branes in flat space, although our construction realizes explicitly only six of the eight supersymmetries. We give some evidence for this conjecture, which is similar to the evidence for mirror symmetry in d = 3 gauge theories. When the gauge group is SU(2) × SU(2) our theory has extra symmetries and becomes identical to the Bagger-Lambert theory.
3,091 citations
1,969 citations
TL;DR: Herwig++ as mentioned in this paper is a general-purpose Monte Carlo event generator for the simulation of hard lepton-lepton, leptonhadron and hadron-hadron collisions, with special emphasis on the correct description of radiation from heavy particles.
Abstract: In this paper we describe Herwig++ version 2.3, a general-purpose Monte Carlo event generator for the simulation of hard lepton-lepton, lepton-hadron and hadron-hadron collisions. A number of important hard scattering processes are available, together with an interface via the Les Houches Accord to specialized matrix element generators for additional processes. The simulation of Beyond the Standard Model (BSM) physics includes a range of models and allows new models to be added by encoding the Feynman rules of the model. The parton-shower approach is used to simulate initial- and final-state QCD radiation, including colour coherence effects, with special emphasis on the correct description of radiation from heavy particles. The underlying event is simulated using an eikonal multiple parton-parton scattering model. The formation of hadrons from the quarks and gluons produced in the parton shower is described using the cluster hadronization model. Hadron decays are simulated using matrix elements, where possible including spin correlations and off-shell effects. Comment: 153 pages, program and additional information available from http://projects.hepforge.org/herwig . Updated description to Herwig++ version 2.3 and added one author
1,829 citations
TL;DR: In this paper, the authors derived the one-loop mixing matrix for anomalous dimensions in N = 4 super Yang-Mills, which can be identified with the Hamiltonian of an integrable SO(6) spin chain with vector sites.
Abstract: We derive the one loop mixing matrix for anomalous dimensions in N=4 Super Yang-Mills. We show that this matrix can be identified with the Hamiltonian of an integrable SO(6) spin chain with vector sites. We then use the Bethe ansatz to find a recipe for computing anomalous dimensions for a wide range of operators. We give exact results for BMN operators with two impurities and results up to and including first order 1/J corrections for BMN operators with many impurities. We then use a result of Reshetikhin's to find the exact one-loop anomalous dimension for an SO(6) singlet in the limit of large bare dimension. We also show that this last anomalous dimension is proportional to the square root of the string level in the weak coupling limit.
1,676 citations