Curtright-Zachos supersymmetric deformations of the Virasoro algebra in quantum superspace and Bloch electron systems
We introduce supersymmetric extensions of the Hom-Lie deformation of the Virasoro algebra, as realized in the GL(1,1) quantum superspace, for Bloch electron systems under Zeeman effects. The construction is achieved by defining generators through magnetic translations and spin matrix bases, specific...
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| Language: | English |
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Elsevier
2025-02-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269325000152 |
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| _version_ | 1823861218261073920 |
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| author | Haru-Tada Sato |
| author_facet | Haru-Tada Sato |
| author_sort | Haru-Tada Sato |
| collection | DOAJ |
| description | We introduce supersymmetric extensions of the Hom-Lie deformation of the Virasoro algebra, as realized in the GL(1,1) quantum superspace, for Bloch electron systems under Zeeman effects. The construction is achieved by defining generators through magnetic translations and spin matrix bases, specifically for the N=1 and N=2 supersymmetric deformed algebras. This approach reveals a structural parallel between the deformed algebra in quantum superspace and its manifestation in Bloch electron systems. |
| format | Article |
| id | doaj-art-dfb40600204e4ed6b9edcc0ee5f8d2f1 |
| institution | Kabale University |
| issn | 0370-2693 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj-art-dfb40600204e4ed6b9edcc0ee5f8d2f12025-02-10T04:33:54ZengElsevierPhysics Letters B0370-26932025-02-01861139255Curtright-Zachos supersymmetric deformations of the Virasoro algebra in quantum superspace and Bloch electron systemsHaru-Tada Sato0Department of Physics, Graduate School of Science, Osaka Metropolitan University, Nakamozu Campus, Sakai, Osaka 599-8531, Japan; Department of Data Science, i's Factory Corporation, Ltd., Kanda-nishiki-cho 2-7-6, Tokyo 101-0054, Japan; Correspondence to: Department of Data Science, i's Factory Corporation, Ltd., Kanda-nishiki-cho 2-7-6, Chiyoda-ku, Tokyo 101-0054, Japan.We introduce supersymmetric extensions of the Hom-Lie deformation of the Virasoro algebra, as realized in the GL(1,1) quantum superspace, for Bloch electron systems under Zeeman effects. The construction is achieved by defining generators through magnetic translations and spin matrix bases, specifically for the N=1 and N=2 supersymmetric deformed algebras. This approach reveals a structural parallel between the deformed algebra in quantum superspace and its manifestation in Bloch electron systems.http://www.sciencedirect.com/science/article/pii/S0370269325000152Quantum superspaceq-deformationVirasoro algebraHom-Lie algebraZeeman effectTight binding model |
| spellingShingle | Haru-Tada Sato Curtright-Zachos supersymmetric deformations of the Virasoro algebra in quantum superspace and Bloch electron systems Physics Letters B Quantum superspace q-deformation Virasoro algebra Hom-Lie algebra Zeeman effect Tight binding model |
| title | Curtright-Zachos supersymmetric deformations of the Virasoro algebra in quantum superspace and Bloch electron systems |
| title_full | Curtright-Zachos supersymmetric deformations of the Virasoro algebra in quantum superspace and Bloch electron systems |
| title_fullStr | Curtright-Zachos supersymmetric deformations of the Virasoro algebra in quantum superspace and Bloch electron systems |
| title_full_unstemmed | Curtright-Zachos supersymmetric deformations of the Virasoro algebra in quantum superspace and Bloch electron systems |
| title_short | Curtright-Zachos supersymmetric deformations of the Virasoro algebra in quantum superspace and Bloch electron systems |
| title_sort | curtright zachos supersymmetric deformations of the virasoro algebra in quantum superspace and bloch electron systems |
| topic | Quantum superspace q-deformation Virasoro algebra Hom-Lie algebra Zeeman effect Tight binding model |
| url | http://www.sciencedirect.com/science/article/pii/S0370269325000152 |
| work_keys_str_mv | AT harutadasato curtrightzachossupersymmetricdeformationsofthevirasoroalgebrainquantumsuperspaceandblochelectronsystems |