54 citations · 647 across the 25 of their papers we have counts for
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Integrable deformations of coupled sigma-models
Cristian Bassi, Sylvain Lacroix
We construct integrability-preserving deformations of the integrable -model coupling together copies of the Principal Chiral Model. These deformed theories are obtained usin…
Ultralocal Lax connection for para-complex -cosets
Francois Delduc, Takashi Kameyama, Sylvain Lacroix +2
We consider -models on para-complex -cosets, which are analogues of those on complex homogeneous target spaces considered recently by D. Bykov. For these models, w…
A unifying 2d action for integrable -models from 4d Chern-Simons theory
Francois Delduc, Sylvain Lacroix, Marc Magro +1
In the approach recently proposed by K. Costello and M. Yamazaki, which is based on a four-dimensional variant of Chern-Simons theory, we derive a simple and unifying two-dimension…
Constrained affine Gaudin models and diagonal Yang-Baxter deformations
Sylvain Lacroix
We review and pursue further the study of constrained realisations of affine Gaudin models, which form a large class of two-dimensional integrable field theories with gauge symmetr…
Assembling integrable sigma-models as affine Gaudin models
Francois Delduc, Sylvain Lacroix, Marc Magro +1
We explain how to obtain new classical integrable field theories by assembling two affine Gaudin models into a single one. We show that the resulting affine Gaudin model depends on…