ODE/IQFT correspondence for the generalized affine sl $$ \mathfrak{sl} $$ (2) Gaudin model
Abstract An integrable system is introduced, which is a generalization of the sl $$ \mathfrak{sl} $$ (2) quantum affine Gaudin model. Among other things, the Hamiltonians are constructed and their spectrum is calculated using the ODE/IQFT approach. The model fits into the framework of Yang-Baxter in...
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2021-09-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP09(2021)201 |
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doaj-fa49e402aa494ffe890f28d3d0594b952021-10-03T11:57:04ZengSpringerOpenJournal of High Energy Physics1029-84792021-09-012021918210.1007/JHEP09(2021)201ODE/IQFT correspondence for the generalized affine sl $$ \mathfrak{sl} $$ (2) Gaudin modelGleb A. Kotousov0Sergei L. Lukyanov1DESY, Theory GroupNHETC, Department of Physics and Astronomy, Rutgers UniversityAbstract An integrable system is introduced, which is a generalization of the sl $$ \mathfrak{sl} $$ (2) quantum affine Gaudin model. Among other things, the Hamiltonians are constructed and their spectrum is calculated using the ODE/IQFT approach. The model fits into the framework of Yang-Baxter integrability. This opens a way for the systematic quantization of a large class of integrable non-linear sigma models. There may also be some interest in terms of Condensed Matter applications, as the theory can be thought of as a multiparametric generalization of the Kondo model.https://doi.org/10.1007/JHEP09(2021)201Bethe AnsatzConformal and W SymmetryIntegrable Field TheoriesQuantum Groups |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Gleb A. Kotousov Sergei L. Lukyanov |
| spellingShingle |
Gleb A. Kotousov Sergei L. Lukyanov ODE/IQFT correspondence for the generalized affine sl $$ \mathfrak{sl} $$ (2) Gaudin model Journal of High Energy Physics Bethe Ansatz Conformal and W Symmetry Integrable Field Theories Quantum Groups |
| author_facet |
Gleb A. Kotousov Sergei L. Lukyanov |
| author_sort |
Gleb A. Kotousov |
| title |
ODE/IQFT correspondence for the generalized affine sl $$ \mathfrak{sl} $$ (2) Gaudin model |
| title_short |
ODE/IQFT correspondence for the generalized affine sl $$ \mathfrak{sl} $$ (2) Gaudin model |
| title_full |
ODE/IQFT correspondence for the generalized affine sl $$ \mathfrak{sl} $$ (2) Gaudin model |
| title_fullStr |
ODE/IQFT correspondence for the generalized affine sl $$ \mathfrak{sl} $$ (2) Gaudin model |
| title_full_unstemmed |
ODE/IQFT correspondence for the generalized affine sl $$ \mathfrak{sl} $$ (2) Gaudin model |
| title_sort |
ode/iqft correspondence for the generalized affine sl $$ \mathfrak{sl} $$ (2) gaudin model |
| publisher |
SpringerOpen |
| series |
Journal of High Energy Physics |
| issn |
1029-8479 |
| publishDate |
2021-09-01 |
| description |
Abstract An integrable system is introduced, which is a generalization of the sl $$ \mathfrak{sl} $$ (2) quantum affine Gaudin model. Among other things, the Hamiltonians are constructed and their spectrum is calculated using the ODE/IQFT approach. The model fits into the framework of Yang-Baxter integrability. This opens a way for the systematic quantization of a large class of integrable non-linear sigma models. There may also be some interest in terms of Condensed Matter applications, as the theory can be thought of as a multiparametric generalization of the Kondo model. |
| topic |
Bethe Ansatz Conformal and W Symmetry Integrable Field Theories Quantum Groups |
| url |
https://doi.org/10.1007/JHEP09(2021)201 |
| work_keys_str_mv |
AT glebakotousov odeiqftcorrespondenceforthegeneralizedaffineslmathfraksl2gaudinmodel AT sergeillukyanov odeiqftcorrespondenceforthegeneralizedaffineslmathfraksl2gaudinmodel |
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