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Algebraic structure of classical integrability for complex sine-Gordon

by J. Avan, L. Frappat, E. Ragoucy

Submission summary

As Contributors: Luc FRAPPAT
Arxiv Link:
Date submitted: 2019-11-19
Submitted by: FRAPPAT, Luc
Submitted to: SciPost Physics
Discipline: Physics
Subject area: Mathematical Physics
Approach: Theoretical


The algebraic structure underlying the classical $r$-matrix formulation of the complex sine-Gordon model is fully elucidated. It is characterized by two matrices $a$ and $s$, components of the $r$ matrix as $r=a-s$. They obey a modified classical reflection/Yang--Baxter set of equations, further deformed by non-abelian dynamical shift terms along the dual Lie algebra $su(2)^*$. The sign shift pattern of this deformation has the signature of the twisted boundary dynamical algebra. Issues related to the quantization of this algebraic structure and the formulation of quantum complex sine-Gordon on those lines are introduced and discussed.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission 1911.06720v1 on 19 November 2019

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