TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.8.3.033
TI  - Algebraic structure of classical integrability for complex sine-Gordon
PY  - 2020/03/02
UR  - https://scipost.org/SciPostPhys.8.3.033
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 8
IS  - 3
SP  - 033
A1  - Avan, Jean
AU  - Frappat, Luc
AU  - Ragoucy, Eric
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.8.3.033,
	title={{Algebraic structure of classical integrability for complex sine-Gordon}},
	author={Jean Avan and Luc Frappat and Eric Ragoucy},
	journal={SciPost Phys.},
	volume={8},
	pages={033},
	year={2020},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.8.3.033},
	url={https://scipost.org/10.21468/SciPostPhys.8.3.033},
}