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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Online-Zugang: | https://arxiv.org/abs/2410.24143 |
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| _version_ | 1866916970971004928 |
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| author | Gabai, Barak Gorbenko, Victor Qiao, Jiaxin Zan, Bernardo Zhabin, Aleksandr |
| author_facet | Gabai, Barak Gorbenko, Victor Qiao, Jiaxin Zan, Bernardo Zhabin, Aleksandr |
| contents | We study a conformal field theory that arises in the infinite-volume limit of a spin chain with $U_q(sl_2)$ global symmetry. Most operators in the theory are defect-ending operators which allows $U_q(sl_2)$ symmetry transformations to act on them in a consistent way. We use Coulomb gas techniques to construct correlation functions and compute all OPE coefficients of the model, as well as to prove that the properties imposed by the quantum group symmetry are indeed satisfied by the correlation functions. In particular, we treat the non-chiral operators present in the theory. Free boson realization elucidates the origin of the defects attached to the operators. We also comment on the role of quantum group in generalized minimal models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_24143 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Groups as Global Symmetries II. Coulomb Gas Construction Gabai, Barak Gorbenko, Victor Qiao, Jiaxin Zan, Bernardo Zhabin, Aleksandr High Energy Physics - Theory Statistical Mechanics Mathematical Physics We study a conformal field theory that arises in the infinite-volume limit of a spin chain with $U_q(sl_2)$ global symmetry. Most operators in the theory are defect-ending operators which allows $U_q(sl_2)$ symmetry transformations to act on them in a consistent way. We use Coulomb gas techniques to construct correlation functions and compute all OPE coefficients of the model, as well as to prove that the properties imposed by the quantum group symmetry are indeed satisfied by the correlation functions. In particular, we treat the non-chiral operators present in the theory. Free boson realization elucidates the origin of the defects attached to the operators. We also comment on the role of quantum group in generalized minimal models. |
| title | Quantum Groups as Global Symmetries II. Coulomb Gas Construction |
| topic | High Energy Physics - Theory Statistical Mechanics Mathematical Physics |
| url | https://arxiv.org/abs/2410.24143 |