TL;DR
This paper explores how theories with Yangian charges can be discretized on a lattice, revealing the algebraic structure and relationships between two Yangians using an approach inspired by the St Petersburg school for sine-Gordon.
Contribution
It demonstrates the lattice realization of Yangian charges and clarifies the connection between two Yangian structures in this discretized setting.
Findings
Yangian structure of the auxiliary algebra is explicitly exhibited.
The relationship between two Yangians is explained.
Lattice formulation preserves key algebraic properties.
Abstract
By placing theories with Yangian charges on the lattice in the analogue of the St Petersburg school's approach to the sine-Gordon system, we exhibit the Yangian structure of the auxiliary algebra, and explain how the two Yangians are related.
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