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Poisson-Lie T-duals of the bi-Yang-Baxter models · Around

2016

Poisson-Lie T-duals of the bi-Yang-Baxter models

Klimcik, C.

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We prove the conjecture of Sfetsos, Siampos and Thompson that suitable analytic continuations of the Poisson-Lie T-duals of the bi-Yang-Baxter sigma models coincide with the recently introduced generalized lambda models.

We then generalize this result by showing that the analytic continuation of a generic sigma model of "universal WZW-type" introduced by Tseytlin in 1993 is nothing but the Poisson-Lie T-dual of a generic Poisson-Lie symmetric sigma model introduced by Klimcik and Severa in 1995.

Built on

D.P. Zhelobenko, Compact Lie groups and their representations
1973
Earlier work this paper cites.
J. Balog, P. Forgács, Z. Horváth and L. Palla, A new family of S U ( 2 ) SU(2) symmetric integrable σ \sigma -models
1994
Earlier work this paper cites.
A. A. Tseytlin, On A ’Universal’ class of WZW type conformal models
1994
Earlier work this paper cites.
C. Klimčík and P. Ševera, Dual non-Abelian duality and the Drinfeld double
1995
Earlier work this paper cites.
C. Klimčík and P. Ševera, Poisson-Lie T-duality and loop groups of Drinfeld doubles
1996
Earlier work this paper cites.
C. Klimčík and P. Ševera, Non-Abelian momentum-winding exchange
1996
Earlier work this paper cites.
C. Klimčík and P. Ševera, Dressing cosets
1996
Earlier work this paper cites.

Similar

C. Klimčík and P. Ševera, Open strings and D D -branes in WZNW model
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C. Klimčík, On integrability of the Yang-Baxter σ \sigma -model
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2009
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F. Delduc, M. Magro and B. Vicedo, On classical q-deformations of integrable sigma-models
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K. Sfetsos, Integrable interpolations: From exact CFTs to non-Abelian T-duals
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Then

K. Sfetsos, K. Siampos and D. Thompson, Generalised integrable λ \lambda - and η \eta -deformations and their relation
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2015
Later among the works it cites.
B. Vicedo, Deformed integrable σ \sigma -models, classical R R -matrices and classical exchange algebra on Drinfel’d doubles
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2015
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B. Hoare and A. A. Tseytlin, On integrable deformations of superstring sigma models related to
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C. Klimčík, η \eta and λ \lambda deformations as ℰ {\cal E} -models
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2015
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C. Ahn, Exact world-sheet S S -matrices for AdS/CFT,
2016
Closest in time.

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C. Klimčík, Integrability of the bi-Yang-Baxter σ \sigma -model

2014

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F. Delduc, M. Magro and B. Vicedo, Integrable double deformation of the principal chiral model

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F. Delduc, S. Lacroix, M. Magro and B. Vicedo, On q-deformed symmetries as Poisson-Lie symmetries and application to Yang-Baxter type models

Cited in the paper.

F. Delduc, S. Lacroix, M. Magro and B. Vicedo, On the Hamiltonian integrability of the bi-Yang-Baxter sigma-model

2016

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