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40 papers
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…
Local charges in involution and hierarchies in integrable sigma-models
Sylvain Lacroix, Marc Magro, Benoit Vicedo
Integrable -models, such as the principal chiral model, -coset models for and their various integrable deformations, are examples o…
Generalized IIB supergravity from exceptional field theory
Arnaud Baguet, Marc Magro, Henning Samtleben
The background underlying the -deformed sigma-model is known to satisfy a generalization of the IIB supergravity equations. Their solutions are related by T-du…
On the Hamiltonian integrability of the bi-Yang-Baxter sigma-model
Francois Delduc, Sylvain Lacroix, Marc Magro +1
The bi-Yang-Baxter sigma-model is a certain two-parameter deformation of the principal chiral model on a real Lie group G for which the left and right G-symmetries of the latter ar…
Integrable double deformation of the principal chiral model
Francois Delduc, Marc Magro, Benoit Vicedo
We define a two-parameter family of integrable deformations of the principal chiral model on an arbitrary compact group. The Yang-Baxter sigma-model and the principal chiral model…