1.1k citations · 11.1k across the 80 of their papers we have counts for
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Multi-Point Affine Bialgebras for AdS/CFT Integrability
Niklas Beisert, Egor Im, Hannes Malcha
In this work, we revisit the analytical structure of the classical affine Lie bialgebra underlying the integrable structures of AdS/CFT worldsheet scattering and the one-dimensiona…
Yangian Symmetry Escapes from the Fishnet
Niklas Beisert, Benedikt König
We investigate Yangian symmetry for the equations of motion and the action of the classical bi-scalar and supersymmetric fishnet models in four spacetime dimensions, and we subsequ…
Yangian Form-alism for Planar Gauge Theories
Niklas Beisert, Benedikt König
In this article, we reconsider the formulation of Yangian symmetry for planar N=4 supersymmetric Yang-Mills theory, and we investigate to what extent this symmetry lifts to the bet…
Affine Classical Lie Bialgebras for AdS/CFT Integrability
Niklas Beisert, Egor Im
In this article we continue the classical analysis of the symmetry algebra underlying the integrability of the spectrum in the AdS_5/CFT_4 and in the Hubbard model. We extend the c…
Classical Lie Bialgebras for AdS/CFT Integrability by Contraction and Reduction
Niklas Beisert, Egor Im
Integrability of the one-dimensional Hubbard model and of the factorised scattering problem encountered on the worldsheet of AdS strings can be expressed in terms of a peculiar qua…
Yangian Algebra and Correlation Functions in Planar Gauge Theories
Niklas Beisert, Aleksander Garus
In this work we consider colour-ordered correlation functions of the fields in integrable planar gauge theories such as N=4 supersymmetric Yang-Mills theory with the aim to establi…
Yangian Symmetry for the Action of Planar N=4 Super Yang-Mills and N=6 Super Chern-Simons Theories
Niklas Beisert, Aleksander Garus, Matteo Rosso
In this article we establish the notion of classical Yangian symmetry for planar N=4 supersymmetric Yang-Mills theory and for related planar gauge theories. After revisiting Yangia…
Yangian Symmetry and Integrability of Planar N=4 Super-Yang-Mills Theory
Niklas Beisert, Aleksander Garus, Matteo Rosso
In this letter we establish Yangian symmetry of planar N=4 super-Yang-Mills theory. We prove that the classical equations of motion of the model close onto themselves under the act…
Integrability of Smooth Wilson Loops in N=4 Superspace
Niklas Beisert, Dennis Muller, Jan Plefka +1
We perform a detailed study of the Yangian symmetry of smooth supersymmetric Maldacena-Wilson loops in planar N=4 super Yang-Mills theory. This hidden symmetry extends the global s…
Smooth Wilson Loops in N=4 Non-Chiral Superspace
Niklas Beisert, Dennis Muller, Jan Plefka +1
We consider a supersymmetric Wilson loop operator for 4d N=4 super Yang-Mills theory which is the natural object dual to the AdS_5 x S^5 superstring in the AdS/CFT correspondence.…
On Yangian-invariant regularisation of deformed on-shell diagrams in N=4 super-Yang-Mills theory
Niklas Beisert, Johannes Broedel, Matteo Rosso
We investigate Yangian invariance of deformed on-shell diagrams with D=4, N=4 superconformal symmetry. We find that invariance implies a direct relationship between the deformation…
Conformal Anomaly for Amplitudes in N=6 Superconformal Chern-Simons Theory
Till Bargheer, Niklas Beisert, Florian Loebbert +1
Scattering amplitudes in three-dimensional N=6 Chern-Simons theory are shown to be non-invariant with respect to the free representation of the osp(6|4) symmetry generators. At tre…
Null Polygonal Wilson Loops in Full N=4 Superspace
Niklas Beisert, Song He, Burkhard U. W. Schwab +1
We compute the one-loop expectation value of light-like polygonal Wilson loops in N=4 super-Yang-Mills theory in full superspace. When projecting to chiral superspace we recover th…
On the Geometry of Null Polygons in Full N=4 Superspace
Niklas Beisert, Cristian Vergu
We discuss various formulations of null polygons in full, non-chiral N=4 superspace in terms of spacetime, spinor and twistor variables. We also note that null polygons are necessa…
Exact Superconformal and Yangian Symmetry of Scattering Amplitudes
Till Bargheer, Niklas Beisert, Florian Loebbert
We review recent progress in the understanding of symmetries for scattering amplitudes in N=4 superconformal Yang-Mills theory. It is summarized how the superficial breaking of sup…
Bonus Yangian Symmetry for the Planar S-Matrix of N=4 Super Yang-Mills
Niklas Beisert, Burkhard U. W. Schwab
Recent developments in the determination of the planar S-matrix of N=4 Super Yang-Mills are closely related to its Yangian symmetry. Here we provide evidence for a yet unobserved a…
Review of AdS/CFT Integrability, Chapter VI.1: Superconformal Symmetry
Niklas Beisert
Aspects of the D=4, N=4 superconformal symmetry relevant to the AdS/CFT duality and integrability are reviewed. These include the Lie superalgebra psu(2,2|4), its representations,…
Review of AdS/CFT Integrability: An Overview
Niklas Beisert, Changrim Ahn, Luis F. Alday +23
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…
E7(7) constraints on counterterms in N=8 supergravity
Niklas Beisert, Henriette Elvang, Daniel Z. Freedman +3
We prove by explicit computation that 6-point matrix elements of D^4R^4 and D^6R^4 in N=8 supergravity have non-vanishing single-soft scalar limits, and therefore these operators v…
On Yangian Symmetry in Planar N=4 SYM
Niklas Beisert
Planar N=4 supersymmetric Yang-Mills theory appears to be perturbatively integrable. This work reviews integrability in terms of a Yangian algebra and compares the application to t…
One-Loop Superconformal and Yangian Symmetries of Scattering Amplitudes in N=4 Super Yang-Mills
Niklas Beisert, Johannes Henn, Tristan McLoughlin +1
Recently it has been argued that tree-level scattering amplitudes in N=4 Yang-Mills theory are uniquely determined by a careful study of their superconformal and Yangian symmetries…
Exacting N=4 Superconformal Symmetry
Till Bargheer, Niklas Beisert, Wellington Galleas +2
Tree level scattering amplitudes in N=4 super Yang-Mills theory are almost, but not exactly invariant under the free action of the N=4 superconformal algebra. What causes the non-i…
T-Duality, Dual Conformal Symmetry and Integrability for Strings on AdS_5 x S^5
Niklas Beisert
In recent years two intriguing observations have been made for N=4 super Yang-Mills theory and for superstrings on AdS5xS5: In the planar limit the computation of the spectrum is v…
Long-Range Deformations for Integrable Spin Chains
Till Bargheer, Niklas Beisert, Florian Loebbert
We present a recursion relation for the explicit construction of integrable spin chain Hamiltonians with long-range interactions. Based on arbitrary short-range (e.g. nearest-neigh…