On the scaling behaviour of an integrable spin chain with Zr symmetry
The subject matter of this work is a 1D quantum spin-12 chain associated with the inhomogeneous six-vertex model possessing an additional Zr symmetry. The model is studied in a certain parametric domain, where it is critical. Within the ODE/IQFT approach, a class of ordinary differential equations a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-08-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321323001980 |
| _version_ | 1797777499840577536 |
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| author | Gleb A. Kotousov Sergei L. Lukyanov |
| author_facet | Gleb A. Kotousov Sergei L. Lukyanov |
| author_sort | Gleb A. Kotousov |
| collection | DOAJ |
| description | The subject matter of this work is a 1D quantum spin-12 chain associated with the inhomogeneous six-vertex model possessing an additional Zr symmetry. The model is studied in a certain parametric domain, where it is critical. Within the ODE/IQFT approach, a class of ordinary differential equations and a quantization condition are proposed which describe the scaling limit of the system. Some remarkable features of the CFT underlying the critical behaviour are observed. Among them is an infinite degeneracy of the conformal primary states and the presence of a continuous component in the spectrum in the case of even r. |
| first_indexed | 2024-03-12T23:04:47Z |
| format | Article |
| id | doaj.art-84c946e42fec4864a04521d9d0d17d49 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-03-12T23:04:47Z |
| publishDate | 2023-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-84c946e42fec4864a04521d9d0d17d492023-07-19T04:23:03ZengElsevierNuclear Physics B0550-32132023-08-01993116269On the scaling behaviour of an integrable spin chain with Zr symmetryGleb A. Kotousov0Sergei L. Lukyanov1Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, Germany; Corresponding author.NHETC, Department of Physics and Astronomy, Rutgers University, Piscataway, NJ 08855-0849, USAThe subject matter of this work is a 1D quantum spin-12 chain associated with the inhomogeneous six-vertex model possessing an additional Zr symmetry. The model is studied in a certain parametric domain, where it is critical. Within the ODE/IQFT approach, a class of ordinary differential equations and a quantization condition are proposed which describe the scaling limit of the system. Some remarkable features of the CFT underlying the critical behaviour are observed. Among them is an infinite degeneracy of the conformal primary states and the presence of a continuous component in the spectrum in the case of even r.http://www.sciencedirect.com/science/article/pii/S0550321323001980 |
| spellingShingle | Gleb A. Kotousov Sergei L. Lukyanov On the scaling behaviour of an integrable spin chain with Zr symmetry Nuclear Physics B |
| title | On the scaling behaviour of an integrable spin chain with Zr symmetry |
| title_full | On the scaling behaviour of an integrable spin chain with Zr symmetry |
| title_fullStr | On the scaling behaviour of an integrable spin chain with Zr symmetry |
| title_full_unstemmed | On the scaling behaviour of an integrable spin chain with Zr symmetry |
| title_short | On the scaling behaviour of an integrable spin chain with Zr symmetry |
| title_sort | on the scaling behaviour of an integrable spin chain with zr symmetry |
| url | http://www.sciencedirect.com/science/article/pii/S0550321323001980 |
| work_keys_str_mv | AT glebakotousov onthescalingbehaviourofanintegrablespinchainwithzrsymmetry AT sergeillukyanov onthescalingbehaviourofanintegrablespinchainwithzrsymmetry |