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arXiv · 2411.16176

Yangian Form-alism for Planar Gauge Theories

Niklas Beisert·Benedikt König
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Abstract

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 beta/gamma-deformation of the model. We first apply cohomology of variational forms towards a thorough derivation of the invariance statement for the undeformed action from covariance of the equations of motion under the Yangian algebra. We then apply a twist deformation to these statements paying particular attention to cyclicity aspects. We find that the equations of motion remain covariant while invariance of the action only holds for the Yangian subalgebra that is uncharged under the twist.

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Niklas Beisert, Benedikt König. 2024-11-25. Yangian Form-alism for Planar Gauge Theories. https://arxiv.org/abs/2411.16176

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