Higher order constraints for the ($β$-deformed) Hermitian matrix models
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929608749744128 |
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| author | Wang, Rui |
| author_facet | Wang, Rui |
| contents | We construct the ($β$-deformed) higher order total derivative operators and analyze their remarkable properties. In terms of these operators, we derive the higher order constraints for the ($β$-deformed) Hermitian matrix models. We prove that these ($β$-deformed) higher order constraints are reducible to the Virasoro constraints. Meanwhile, the Itoyama-Matsuo conjecture for the constraints of the Hermitian matrix model is proved. We also find that through rescaling variable transformations, two sets of the constraint operators become the $W$-operators of $W$-representations for the ($β$-deformed) partition function hierarchies in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02281 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher order constraints for the ($β$-deformed) Hermitian matrix models Wang, Rui High Energy Physics - Theory We construct the ($β$-deformed) higher order total derivative operators and analyze their remarkable properties. In terms of these operators, we derive the higher order constraints for the ($β$-deformed) Hermitian matrix models. We prove that these ($β$-deformed) higher order constraints are reducible to the Virasoro constraints. Meanwhile, the Itoyama-Matsuo conjecture for the constraints of the Hermitian matrix model is proved. We also find that through rescaling variable transformations, two sets of the constraint operators become the $W$-operators of $W$-representations for the ($β$-deformed) partition function hierarchies in the literature. |
| title | Higher order constraints for the ($β$-deformed) Hermitian matrix models |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.02281 |