Zobrazeno 1 - 10
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pro vyhledávání: '"Ctirad Klimcik"'
Autor:
Ctirad Klimčík
Publikováno v:
Journal of High Energy Physics, Vol 2019, Iss 7, Pp 1-45 (2019)
Abstract We provide a new construction of the dressing cosets σ-models which is based on an isotropic gauging of the E $$ \mathcal{E} $$ -models. As an application of this new approach, we show that the recently constructed multi-parametric integrab
Externí odkaz:
https://doaj.org/article/6ba507534d1a40b3bc2e888876584367
Autor:
Ctirad Klimčík
Publikováno v:
Nuclear Physics B, Vol 939, Iss , Pp 191-232 (2019)
We generalize the Poisson–Lie T-duality by making use of the structure of the affine Poisson group which is the concept introduced some time ago in Poisson geometry as a generalization of the Poisson–Lie group. We also introduce a new notion of a
Externí odkaz:
https://doaj.org/article/fe92bb422d574ffeab49f60650db912c
Autor:
Ctirad Klimčík
Publikováno v:
Physics Letters B, Vol 812, Iss , Pp 136009- (2021)
We argue that the T-duality phenomenon is not exclusively a stringy effect but it is relevant also in the context of the standard point particle dynamics. To illustrate the point, we construct a four-parametric family of four-dimensional electro-grav
Externí odkaz:
https://doaj.org/article/06cdacf96d634f3bacd996a0482c6025
Autor:
Ctirad Klimčík
Publikováno v:
Physics Letters B, Vol 772, Iss C, Pp 725-730 (2017)
It turns out that many integrable σ-models on group manifolds belong to the class of the so-called E-models which are relevant in the context of the Poisson–Lie T-duality. We show that this is the case also for the Yang–Baxter σ-model with WZNW
Externí odkaz:
https://doaj.org/article/37ee9ce9870946e38fc5ec7e9c8ef842
Publikováno v:
Journal of High Energy Physics, Vol 2017, Iss 8, Pp 1-19 (2017)
Abstract We study the T-dualisability criteria of Chatzistavrakidis, Deser and Jonke [3] who recently used Lie algebroid gauge theories to obtain sigma models exhibiting a “Tduality without isometry”. We point out that those T-dualisability crite
Externí odkaz:
https://doaj.org/article/afc2c68c9ee34fc8b47e6f822c76c1ca
Autor:
Ctirad Klimčík
Publikováno v:
Physics Letters B, Vol 760, Iss C, Pp 345-349 (2016)
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 λ-models. We then generalize this resul
Externí odkaz:
https://doaj.org/article/9fcb2f81f3b047418f02a2d1f9f2db75
Autor:
Ctirad Klimčík
Publikováno v:
Nuclear Physics B, Vol 900, Iss C, Pp 259-272 (2015)
We show that the so-called λ deformed σ-model as well as the η deformed one belong to a class of the E-models introduced in the context of the Poisson–Lie-T-duality. The λ and η theories differ solely by the choice of the Drinfeld double; for
Externí odkaz:
https://doaj.org/article/24680817bc5b46c8b4a7fbd41811ec97
Autor:
Ctirad Klimcík
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 4, p 003 (2008)
We give a detailed description of a dynamical system which enjoys a Poisson-Lie symmetry with two non-isomorphic dual groups. The system is obtained by taking the q → ∞ limit of the q-deformed WZW model and the understanding of its symmetry struc
Externí odkaz:
https://doaj.org/article/02c872e724564644894558874e0e8bb9
Autor:
Ctirad Klimčík
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 2, p 079 (2006)
We review the description of a particular deformation of the WZW model. The resulting theory exhibits a Poisson-Lie symmetry with a non-Abelian cosymmetry group and can be vectorially gauged.
Externí odkaz:
https://doaj.org/article/75cbb9472f8744cd87b03bc521ec524f
Autor:
Ctirad Klimcik
Publikováno v:
Rev.Math.Phys.
Rev.Math.Phys., 2021, 33 (06), pp.2130004. ⟨10.1142/S0129055X21300041⟩
Rev.Math.Phys., 2021, 33 (06), pp.2130004. ⟨10.1142/S0129055X21300041⟩
We provide a pedagogical introduction to some aspects of integrability, dualities and deformations of physical systems in 0+1 and in 1+1 dimensions. In particular, we concentrate on the T-duality of point particles and strings as well as on the Ruijs
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b6498539180857aa62b1a1b793029c6
http://arxiv.org/abs/2101.05230
http://arxiv.org/abs/2101.05230