English

Integrability of the bi-Yang-Baxter sigma-model

Mathematical Physics 2015-06-18 v1 High Energy Physics - Theory math.MP
Authors: C. Klimcik
View on arXiv ↗ PDF ↗ DOI ↗

Abstract

We construct a Lax pair with spectral parameter for a two-parameter doubly Poisson-Lie deformation of the principal chiral model.

Cite

@article{arxiv.1402.2105,
  title  = {Integrability of the bi-Yang-Baxter sigma-model},
  author = {C. Klimcik},
  journal= {arXiv preprint arXiv:1402.2105},
  year   = {2015}
}

Comments

14 pages

Related papers

View all related →
High Energy Physics - Theory · Physics
On integrability of 2-dimensional $\sigma$-models of Poisson-Lie type
Pavol Ševera
2017-12-06
High Energy Physics - Theory · Physics
Integrable double deformation of the principal chiral model
Francois Delduc, Marc Magro, Benoit Vicedo
2017-01-18
High Energy Physics - Theory · Physics
On the Hamiltonian integrability of the bi-Yang-Baxter sigma-model
Francois Delduc, Sylvain Lacroix, Marc Magro, Benoit Vicedo
2017-07-06
High Energy Physics - Theory · Physics
On integrability of the Yang-Baxter $\si$-model
C. Klimcik
2009-11-19
High Energy Physics - Theory · Physics
Combining the bi-Yang-Baxter deformation, the Wess-Zumino term and TsT transformations in one integrable sigma-model
Francois Delduc, Ben Hoare, Takashi Kameyama, Marc Magro
2017-12-05
High Energy Physics - Theory · Physics
Integrable deformations of coupled sigma-models
Cristian Bassi, Sylvain Lacroix
2020-05-19
High Energy Physics - Theory · Physics
A heterotic integrable deformation of the principal chiral model
David Osten
2024-09-12
Mathematical Physics · Physics
Point particle E-models
Ctirad Klimcik
2024-06-04
High Energy Physics - Theory · Physics
Auxiliary Field Sigma Models and Yang-Baxter Deformations
Daniele Bielli, Christian Ferko, Liam Smith, Gabriele Tartaglino-Mazzucchelli
2024-11-05
High Energy Physics - Theory · Physics
An elliptic integrable deformation of the Principal Chiral Model
Sylvain Lacroix, Anders Wallberg
2024-05-17
solv-int · Physics
All generalized SU(2) chiral models have spectral dependent Lax formulation
L. Hlavaty
2007-05-23
solv-int · Physics
Towards the Lax formulation of SU(2) principal models with nonconstant metric
L. Hlavaty
2007-05-23
High Energy Physics - Theory · Physics
The classical Yang-Baxter equation and the associated Yangian symmetry of gauged WZW-type theories
Georgios Itsios, Konstantinos Sfetsos, Konstantinos Siampos, Alessandro Torrielli
2014-12-30
High Energy Physics - Theory · Physics
Algebra of Lax Connection for T-Dual Models
J. Kluson
2009-07-24
High Energy Physics - Theory · Physics
Integrable models with twist function and affine Gaudin models
Sylvain Lacroix
2018-09-19
High Energy Physics - Theory · Physics
Deformed integrable $\sigma$-models, classical $R$-matrices and classical exchange algebra on Drinfel'd doubles
Benoit Vicedo
2015-09-02
Mathematical Physics · Physics
Integrable deformations of principal chiral model from solutions of associative Yang-Baxter equation
D. Domanevsky, A. Levin, M. Olshanetsky, A. Zotov
2026-02-10
High Energy Physics - Theory · Physics
On classical q-deformations of integrable sigma-models
Francois Delduc, Marc Magro, Benoit Vicedo
2014-01-16
High Energy Physics - Theory · Physics
Affine q-deformed symmetry and the classical Yang-Baxter sigma-model
Francois Delduc, Takashi Kameyama, Marc Magro, Benoit Vicedo
2017-04-04
High Energy Physics - Theory · Physics
Integrable deformations of T-dual $\sigma$ models
Riccardo Borsato, Linus Wulff
2017-08-24
High Energy Physics - Theory · Physics
Integrable Generalized Principal Chiral Models
Nir Sochen
2009-10-30
High Energy Physics - Theory · Physics
Classical and Quantum Aspects of Yang-Baxter Wess-Zumino Models
Saskia Demulder, Sibylle Driezen, Alexander Sevrin, Daniel C. Thompson
2018-04-04
High Energy Physics - Theory · Physics
Integrability of the $\lambda$-deformation of the PCM with spectators
Riccardo Borsato, Georgios Itsios, J. Luis Miramontes, Konstantinos Siampos
2025-03-25
High Energy Physics - Theory · Physics
Integrable Higher-Spin Deformations of Sigma Models from Auxiliary Fields
Daniele Bielli, Christian Ferko, Liam Smith, Gabriele Tartaglino-Mazzucchelli
2024-08-15
High Energy Physics - Theory · Physics
Generalised integrable $\lambda$- and $\eta$-deformations and their relation
Konstantinos Sfetsos, Konstantinos Siampos, Daniel C. Thompson
2015-09-01
R2 v1 2026-06-22T03:04:42.391Z