Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models

We extend basic properties of two dimensional integrable models within the Algebraic Bethe Ansatz ap- proach to 2+1 dimensions and formulate the sufficient conditions for the commutativity of transfer matrices of different spectral parameters, in analogy with Yang–Baxter or tetrahedron equations. T...

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Principais autores: Khachatryan, Sh, Ferraz Filho, Álvaro, Klümper, A, Sedrakyan, A
Formato: article
Idioma:English
Publicado em: Nuclear Physics. B
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Algébrica de Bethe
Endereço do item:https://repositorio.ufrn.br/jspui/handle/123456789/28971
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spelling ri-123456789-289712020-05-17T07:59:58Z Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models Khachatryan, Sh Ferraz Filho, Álvaro Klümper, A Sedrakyan, A Algébrica de Bethe We extend basic properties of two dimensional integrable models within the Algebraic Bethe Ansatz ap- proach to 2+1 dimensions and formulate the sufficient conditions for the commutativity of transfer matrices of different spectral parameters, in analogy with Yang–Baxter or tetrahedron equations. The basic ingredient of our models is the R-matrix, which describes the scattering of a pair of particles over another pair of par- ticles, the quark-anti-quark (meson) scattering on another quark-anti-quark state. We show that the Kitaev model belongs to this class of models and its R-matrix fulfills well-defined equations for integrability. © 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3. 2020-05-12T20:31:58Z 2020-05-12T20:31:58Z 2015-08-13 article KHACHATRYAN, SH.; FERRAZ FILHO, A.; KLÜMPER, A.; SEDRAKYAN, A. Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models. Nuclear Physics. B (Print), v. 899, p. 444-450, 2015. Disponível em: https://www.sciencedirect.com/science/article/pii/S0550321315002928?via%3Dihub. Acesso em: 07 abr. 2020. https://repositorio.ufrn.br/jspui/handle/123456789/28971 10.1016/J.NUCLPHYSB.2015.08.007 en Attribution 3.0 Brazil http://creativecommons.org/licenses/by/3.0/br/ application/pdf Nuclear Physics. B
institution Repositório Institucional
collection RI - UFRN
language English
topic Algébrica de Bethe
spellingShingle Algébrica de Bethe
Khachatryan, Sh
Ferraz Filho, Álvaro
Klümper, A
Sedrakyan, A
Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models
description We extend basic properties of two dimensional integrable models within the Algebraic Bethe Ansatz ap- proach to 2+1 dimensions and formulate the sufficient conditions for the commutativity of transfer matrices of different spectral parameters, in analogy with Yang–Baxter or tetrahedron equations. The basic ingredient of our models is the R-matrix, which describes the scattering of a pair of particles over another pair of par- ticles, the quark-anti-quark (meson) scattering on another quark-anti-quark state. We show that the Kitaev model belongs to this class of models and its R-matrix fulfills well-defined equations for integrability. © 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3.
format article
author Khachatryan, Sh
Ferraz Filho, Álvaro
Klümper, A
Sedrakyan, A
author_facet Khachatryan, Sh
Ferraz Filho, Álvaro
Klümper, A
Sedrakyan, A
author_sort Khachatryan, Sh
title Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models
title_short Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models
title_full Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models
title_fullStr Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models
title_full_unstemmed Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models
title_sort integrability in three dimensions: algebraic bethe ansatz for anyonic models
publisher Nuclear Physics. B
publishDate 2020
url https://repositorio.ufrn.br/jspui/handle/123456789/28971
work_keys_str_mv AT khachatryansh integrabilityinthreedimensionsalgebraicbetheansatzforanyonicmodels
AT ferrazfilhoalvaro integrabilityinthreedimensionsalgebraicbetheansatzforanyonicmodels
AT klumpera integrabilityinthreedimensionsalgebraicbetheansatzforanyonicmodels
AT sedrakyana integrabilityinthreedimensionsalgebraicbetheansatzforanyonicmodels
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