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pro vyhledávání: '"Io Kawaguchi"'
We proceed to study the integrable structures of two-dimensional non-linear sigma models defined on three-dimensional Schrodinger spacetimes. We show that anisotropic Lax pairs are equivalent with isotropic Lax pairs with flat conserved currents unde
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c72dd33dd34e91c5f280c03d74bdd86c
http://arxiv.org/abs/1305.6556
http://arxiv.org/abs/1305.6556
Publikováno v:
Journal of High Energy Physics. 2012
We consider a quantum affine algebra realized in two-dimensional non-linear sigma models with target space three-dimensional squashed sphere. Its affine generators are explicitly constructed and the Poisson brackets are computed. The defining relatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dac48194c3ad932bc412df095f49cb26
https://doi.org/10.1007/jhep04(2012)115
https://doi.org/10.1007/jhep04(2012)115
We proceed to study the hybrid integrable structure in two-dimensional non-linear sigma models with target space three-dimensional squashed spheres. A quantum affine algebra and a pair of Yangian algebras are realized in the sigma models and, accordi
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c4a2f33465f168b53056986b58be91e7
http://arxiv.org/abs/1203.3400
http://arxiv.org/abs/1203.3400
Autor:
Kentaroh Yoshida, Io Kawaguchi
We consider the classical integrable structure of two-dimensional non-linear sigma models with target space three-dimensional Schrodinger spacetimes. There are the two descriptions to describe the classical dynamics: 1) the left description based on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c6c604d756b1e22a465e045fe8e74335
Autor:
Kentaroh Yoshida, Io Kawaguchi
We give a short summary of our recent works on the classical integrable structure of two-dimensional non-linear sigma models defined on squashed three-dimensional spheres. There are two descriptions to describe the classical dynamics, 1) the rational
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::30b688b538858eba4582f04fe49f0474
http://arxiv.org/abs/1110.6748
http://arxiv.org/abs/1110.6748
Autor:
Kentaroh Yoshida, Io Kawaguchi
We discuss classical integrable structure of two-dimensional sigma models which have three-dimensional Schrodinger spacetimes as target spaces. The Schrodinger spacetimes are regarded as null-like deformations of AdS_3. The original AdS_3 isometry SL
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6354367c2a8ac03495233e372440b9e4
http://arxiv.org/abs/1109.0872
http://arxiv.org/abs/1109.0872
Autor:
Kentaroh Yoshida, Io Kawaguchi
We show that SU(2)_L Yangian and q-deformed SU(2)_R symmetries are realized in a two-dimensional sigma model defined on a three-dimensional squashed sphere. These symmetries enable us to develop the two descriptions to describe its classical dynamics
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5d2148ecbc636cd9a2ecc795d30af3d3
http://arxiv.org/abs/1107.3662
http://arxiv.org/abs/1107.3662
We introduce a deformation of the Wess-Zumino-Novikov-Witten model with three-dimensional squashed sphere target space. We show how with an appropriate choice of Wess--Zumino and boundary terms it is possible to construct an infinite family of conser
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1853f17a588e1c9a95337eb627d56ead
Publikováno v:
International Journal of Modern Physics: Conference Series. 21:180-181
We show Yangian and quantum affine symmetries are realized in two-dimensional non-linear sigma models with squashed spheres target spaces. According to these symmetries, there are two descriptions for the classical dynamics. In each description, a La
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https://explore.openaire.eu/search/publication?articleId=doi_________::5c42a7055d5b155293a033435b1a061f
https://doi.org/10.1142/s2010194513009707
https://doi.org/10.1142/s2010194513009707
Autor:
Io Kawaguchi, Kentaroh Yoshida
Publikováno v:
Journal of Mathematical Physics; Jun2014, Vol. 55 Issue 6, p1-46, 46p, 5 Diagrams, 2 Charts