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Search: authors:"Rouven Frassek"

3 papers found.
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Evaluation of the operatorial Q-system for non-compact super spin chains

We present an approach to evaluate the full operatorial Q-system of all \( \mathfrak{u}\left(p,q\Big|r+s\right) \)-invariant spin chains with representations of Jordan-Schwinger type. In particular, this includes the super spin chain of planar \( \mathcal{N}=4 \) super Yang-Mills theory at one loop in the presence of a diagonal twist. Our method is based on the oscillator ...

Yangian-type symmetries of non-planar leading singularities

We take up the study of integrable structures behind non-planar contributions to scattering amplitudes in \( \mathcal{N}=4 \) super Yang-Mills theory. Focusing on leading singularities, we derive the action of the Yangian generators on color-ordered subsets of the external states. Each subset corresponds to a single boundary of the non-planar on-shell diagram. While Yangian ...

On-shell diagrams, GraƟmannians and integrability for form factors

We apply on-shell and integrability methods that have been developed in the context of scattering amplitudes in \( \mathcal{N}=4 \) SYM theory to tree-level form factors of this theory. Focussing on the colour-ordered super form factors of the chiral part of the stress-tensor multiplet as an example, we show how to systematically construct on-shell diagrams for these form factors ...