Outputs (5)

Yangian-type symmetries of non-planar leading singularities (2016)
Journal Article
Frassek, R., & Meidinger, D. (2016). Yangian-type symmetries of non-planar leading singularities. Journal of High Energy Physics, 2016(5), Article 110. https://doi.org/10.1007/jhep05%282016%29110

We take up the study of integrable structures behind non-planar contributions to scattering amplitudes in N=4N=4 super Yang-Mills theory. Focusing on leading singularities, we derive the action of the Yangian generators on color-ordered subsets of th... Read More about Yangian-type symmetries of non-planar leading singularities.

On-shell Diagrams, Graßmannians and Integrability for Form Factors (2016)
Journal Article
Frassek, R., Meidinger, D., Nandan, D., & Wilhelm, M. (2016). On-shell Diagrams, Graßmannians and Integrability for Form Factors. Journal of High Energy Physics, 2016(1), Article 182. https://doi.org/10.1007/jhep01%282016%29182

We apply on-shell and integrability methods that have been developed in the context of scattering amplitudes in N=4N=4 SYM theory to tree-level form factors of this theory. Focussing on the colour-ordered super form factors of the chiral part of the... Read More about On-shell Diagrams, Graßmannians and Integrability for Form Factors.

Q-operators for the open Heisenberg spin chain (2015)
Journal Article
Frassek, R., & Szécsényi, I. M. (2015). Q-operators for the open Heisenberg spin chain. Nuclear Physics B, 901, 229-248. https://doi.org/10.1016/j.nuclphysb.2015.10.010

We construct Q-operators for the open spin-View the MathML source XXX Heisenberg spin chain with diagonal boundary matrices. The Q-operators are defined as traces over an infinite-dimensional auxiliary space involving novel types of reflection operat... Read More about Q-operators for the open Heisenberg spin chain.

Algebraic Bethe ansatz for Q-operators: the Heisenberg spin chain (2015)
Journal Article
Frassek, R. (2015). Algebraic Bethe ansatz for Q-operators: the Heisenberg spin chain. Journal of Physics A: Mathematical and Theoretical, 48(29), Article 294002. https://doi.org/10.1088/1751-8113/48/29/294002

We diagonalize Q-operators for rational homogeneous sl(2)-invariant Heisenberg spin chains using the algebraic Bethe ansatz. After deriving the fundamental commutation relations relevant for this case from the Yang–Baxter equation we demonstrate that... Read More about Algebraic Bethe ansatz for Q-operators: the Heisenberg spin chain.

Bethe ansatz for Yangian invariants: Towards super Yang–Mills scattering amplitudes (2014)
Journal Article
Frassek, R., Kanning, N., Ko, Y., & Staudacher, M. (2014). Bethe ansatz for Yangian invariants: Towards super Yang–Mills scattering amplitudes. Nuclear Physics B, 883, 373-424. https://doi.org/10.1016/j.nuclphysb.2014.03.015

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. These are identified with eigenfunctions of certain monodromies of an au... Read More about Bethe ansatz for Yangian invariants: Towards super Yang–Mills scattering amplitudes.