On constraints of the (β-deformed) partition functions with W-representations
We investigate the constraints of the (β-deformed) partition functions with W-representations in the literature, which can be realized by the interpolating two-matrix models (two β-ensembles). For the non-deformed partition functions, we construct their Virasoro and higher order constraints using th...
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| Main Authors: | , , , |
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| Format: | Article |
| 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/S0370269325000462 |
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| _version_ | 1823861218006269952 |
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| author | Yu-Sen Zhu Ren Cuo Ji Min-Li Li Rui Wang |
| author_facet | Yu-Sen Zhu Ren Cuo Ji Min-Li Li Rui Wang |
| author_sort | Yu-Sen Zhu |
| collection | DOAJ |
| description | We investigate the constraints of the (β-deformed) partition functions with W-representations in the literature, which can be realized by the interpolating two-matrix models (two β-ensembles). For the non-deformed partition functions, we construct their Virasoro and higher order constraints using the total derivative operators. For the β-deformed partition functions, we derive their Virasoro constraints in terms of the constructed Virasoro operators. Meanwhile, we obtain a new realization of the Virasoro algebra in terms of the Dunkl operators and the conserved quantities in the rational Calogero model. |
| format | Article |
| id | doaj-art-de372dc6fab5427fbbb737146c24992a |
| institution | Kabale University |
| issn | 0370-2693 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj-art-de372dc6fab5427fbbb737146c24992a2025-02-10T04:34:09ZengElsevierPhysics Letters B0370-26932025-02-01861139286On constraints of the (β-deformed) partition functions with W-representationsYu-Sen Zhu0Ren Cuo Ji1Min-Li Li2Rui Wang3School of Mathematical Sciences, Capital Normal University, Beijing 100048, ChinaSchool of Mathematical Sciences, Capital Normal University, Beijing 100048, ChinaSchool of Mathematical Sciences, Capital Normal University, Beijing 100048, ChinaDepartment of Mathematics, China University of Mining and Technology, Beijing 100083, China; Corresponding author.We investigate the constraints of the (β-deformed) partition functions with W-representations in the literature, which can be realized by the interpolating two-matrix models (two β-ensembles). For the non-deformed partition functions, we construct their Virasoro and higher order constraints using the total derivative operators. For the β-deformed partition functions, we derive their Virasoro constraints in terms of the constructed Virasoro operators. Meanwhile, we obtain a new realization of the Virasoro algebra in terms of the Dunkl operators and the conserved quantities in the rational Calogero model.http://www.sciencedirect.com/science/article/pii/S0370269325000462Matrix modelsConformal and W symmetry |
| spellingShingle | Yu-Sen Zhu Ren Cuo Ji Min-Li Li Rui Wang On constraints of the (β-deformed) partition functions with W-representations Physics Letters B Matrix models Conformal and W symmetry |
| title | On constraints of the (β-deformed) partition functions with W-representations |
| title_full | On constraints of the (β-deformed) partition functions with W-representations |
| title_fullStr | On constraints of the (β-deformed) partition functions with W-representations |
| title_full_unstemmed | On constraints of the (β-deformed) partition functions with W-representations |
| title_short | On constraints of the (β-deformed) partition functions with W-representations |
| title_sort | on constraints of the β deformed partition functions with w representations |
| topic | Matrix models Conformal and W symmetry |
| url | http://www.sciencedirect.com/science/article/pii/S0370269325000462 |
| work_keys_str_mv | AT yusenzhu onconstraintsofthebdeformedpartitionfunctionswithwrepresentations AT rencuoji onconstraintsofthebdeformedpartitionfunctionswithwrepresentations AT minlili onconstraintsofthebdeformedpartitionfunctionswithwrepresentations AT ruiwang onconstraintsofthebdeformedpartitionfunctionswithwrepresentations |