Abstract
We describe a simple procedure for constructing a Lax pair for suitable 2- dimensional σ-models appearing in Poisson-Lie T-duality
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F. Delduc, M. Magro and B. Vicedo, On classical q-deformations of integrable σ-models, JHEP 11 (2013) 192 [arXiv:1308.3581] [INSPIRE].
F. Delduc, M. Magro and B. Vicedo, Integrable double deformation of the principal chiral model, Nucl. Phys. B 891 (2015) 312 [arXiv:1410.8066] [INSPIRE].
C. Klimčík, On integrability of the Yang-Baxter σ-model, J. Math. Phys. 50 (2009) 043508 [arXiv:0802.3518] [INSPIRE].
C. Klimčík, Yang-Baxter σ-model with WZNW term as ℰ -model, Phys. Lett. B 772 (2017) 725 [arXiv:1706.08912] [INSPIRE].
C. Klimčík and P. Ševera, Dual nonAbelian duality and the Drinfeld double, Phys. Lett. B 351 (1995) 455 [hep-th/9502122] [INSPIRE].
C. Klimčík and P. Ševera, Poisson-Lie T duality and loop groups of Drinfeld doubles, Phys. Lett. B 372 (1996) 65 [hep-th/9512040] [INSPIRE].
C. Klimčík and P. Ševera, NonAbelian momentum winding exchange, Phys. Lett. B 383 (1996) 281 [hep-th/9605212] [INSPIRE].
C. Klimčík and P. Ševera, Dressing cosets, Phys. Lett. B 381 (1996) 56 [hep-th/9602162] [INSPIRE].
C. Klimčík and P. Ševera, Open strings and D-branes in WZNW model, Nucl. Phys. B 488 (1997) 653 [hep-th/9609112] [INSPIRE].
J.M. Maillet, Kac-Moody Algebra and Extended Yang-Baxter Relations in the O(N ) Nonlinear σ Model, Phys. Lett. B 162 (1985) 137 [INSPIRE].
J.M. Maillet, New Integrable Canonical Structures in Two-dimensional Models, Nucl. Phys. B 269 (1986) 54 [INSPIRE].
K. Sfetsos, Integrable interpolations: From exact CFTs to non-Abelian T-duals, Nucl. Phys. B 880 (2014) 225 [arXiv:1312.4560] [INSPIRE].
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ArXiv ePrint: 1709.02213
Supported in part by the grant MODFLAT of the European Research Council and the NCCR SwissMAP of the Swiss National Science Foundation (Pavol Ševera).
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Ševera, P. On integrability of 2-dimensional σ-models of Poisson-Lie type. J. High Energ. Phys. 2017, 15 (2017). https://doi.org/10.1007/JHEP11(2017)015
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DOI: https://doi.org/10.1007/JHEP11(2017)015