43 citations · 63 across the 6 of their papers we have counts for
7 papers
On the Integrable Structure of Super Yang-Mills Scattering Amplitudes
Nils Kanning
The maximally supersymmetric Yang-Mills theory in four-dimensional Minkowski space is an exceptional model of mathematical physics. Even more so in the planar limit, where the theo…
Grassmannian Integrals in Minkowski Signature, Amplitudes, and Integrability
Nils Kanning, Matthias Staudacher
We attempt to systematically derive tree-level scattering amplitudes in four-dimensional, planar, maximally supersymmetric Yang-Mills theory from integrability. We first review the…
Grassmannian Integrals as Matrix Models for Non-Compact Yangian Invariants
Nils Kanning, Yumi Ko, Matthias Staudacher
In the past years, there have been tremendous advances in the field of planar N=4 super Yang-Mills scattering amplitudes. At tree-level they were formulated as Grassmannian integra…
A Shortcut to General Tree-level Scattering Amplitudes in N=4 SYM via Integrability
Nils Kanning, Tomasz Lukowski, Matthias Staudacher
We combine recent applications of the two-dimensional quantum inverse scattering method to the scattering amplitude problem in four-dimensional N=4 Super Yang-Mills theory. Integra…
Bethe Ansatz for Yangian Invariants: Towards Super Yang-Mills Scattering Amplitudes
Rouven Frassek, Nils Kanning, Yumi Ko +1
We propose that Baxter's Z-invariant six-vertex model at the rational gl(2) point on a planar but in general not rectangular lattice provides a way to study Yangian invariants. The…
The Non-Autonomous Chiral Model and the Ernst Equation of General Relativity in the Bidifferential Calculus Framework
Aristophanes Dimakis, Nils Kanning, Folkert Müller-Hoissen
The non-autonomous chiral model equation for an matrix function on a two-dimensional space appears in particular in general relativity, where for a certain reduc…
Bidifferential calculus, matrix SIT and sine-Gordon equations
Aristophanes Dimakis, Nils Kanning, Folkert Mueller-Hoissen
We express a matrix version of the self-induced transparency (SIT) equations in the bidifferential calculus framework. An infinite family of exact solutions is then obtained by app…