Integrable 3D lattice model in M-theory
Abstract It is argued that the supersymmetric index of a certain system of branes in M-theory is equal to the partition function of an integrable three-dimensional lattice model. The local Boltzmann weights of the lattice model satisfy a generalization of Zamolodchikov’s tetrahedron equation. In a s...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2023)022 |
| _version_ | 1797836654782709760 |
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| author | Junya Yagi |
| author_facet | Junya Yagi |
| author_sort | Junya Yagi |
| collection | DOAJ |
| description | Abstract It is argued that the supersymmetric index of a certain system of branes in M-theory is equal to the partition function of an integrable three-dimensional lattice model. The local Boltzmann weights of the lattice model satisfy a generalization of Zamolodchikov’s tetrahedron equation. In a special case the model is described by a solution of the tetrahedron equation discovered by Kapranov and Voevodsky and by Bazhanov and Sergeev. |
| first_indexed | 2024-04-09T15:13:30Z |
| format | Article |
| id | doaj.art-fa7016076bf7436fa26c97e92fe94b6f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T15:13:30Z |
| publishDate | 2023-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-fa7016076bf7436fa26c97e92fe94b6f2023-04-30T11:05:25ZengSpringerOpenJournal of High Energy Physics1029-84792023-01-012023113810.1007/JHEP01(2023)022Integrable 3D lattice model in M-theoryJunya Yagi0Yau Mathematical Sciences Center, Tsinghua UniversityAbstract It is argued that the supersymmetric index of a certain system of branes in M-theory is equal to the partition function of an integrable three-dimensional lattice model. The local Boltzmann weights of the lattice model satisfy a generalization of Zamolodchikov’s tetrahedron equation. In a special case the model is described by a solution of the tetrahedron equation discovered by Kapranov and Voevodsky and by Bazhanov and Sergeev.https://doi.org/10.1007/JHEP01(2023)022Lattice Integrable ModelsM-TheoryTopological Field Theories |
| spellingShingle | Junya Yagi Integrable 3D lattice model in M-theory Journal of High Energy Physics Lattice Integrable Models M-Theory Topological Field Theories |
| title | Integrable 3D lattice model in M-theory |
| title_full | Integrable 3D lattice model in M-theory |
| title_fullStr | Integrable 3D lattice model in M-theory |
| title_full_unstemmed | Integrable 3D lattice model in M-theory |
| title_short | Integrable 3D lattice model in M-theory |
| title_sort | integrable 3d lattice model in m theory |
| topic | Lattice Integrable Models M-Theory Topological Field Theories |
| url | https://doi.org/10.1007/JHEP01(2023)022 |
| work_keys_str_mv | AT junyayagi integrable3dlatticemodelinmtheory |