Yangian symmetry escapes from the fishnet
Year: 2026
Type: article
Abstract: 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 subsequently discuss its applicability to planar correlation functions. We argue that Yangian symmetry is classically realised in these models subject to specific evaluation parameter patterns. Curiously, Yangian invariance does not extend to generic quantum correlation functions in the bi-scalar model beyond the well-established classes of Yangian invariant correlators. We present several concrete counter-examples of bi-scalar correlators given by sums of Feynman graphs and of bi-scalar graphs with octagon-shaped loops. This finding underlines the notion that a non-zero dual Coxeter number represents an obstacle towards quantum Yangian symmetry and possibly also for complete integrability in planar QFT models.
Source: SciPost Physics
Authors: Niklas Beisert, Benedikt König
Institution: ETH Zurich
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4416766507