Higher order constraints for the ( $$\beta $$ β -deformed) Hermitian matrix models
Abstract We construct the ( $$\beta $$ 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 ( $$\beta $$ β -deformed) Hermitian matrix models. We prove that these ( $$\beta $$ β -defo...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-10-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13377-2 |
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| _version_ | 1849220549893423104 |
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| author | Rui Wang |
| author_facet | Rui Wang |
| author_sort | Rui Wang |
| collection | DOAJ |
| description | Abstract We construct the ( $$\beta $$ 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 ( $$\beta $$ β -deformed) Hermitian matrix models. We prove that these ( $$\beta $$ 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 ( $$\beta $$ β -deformed) partition function hierarchies in the literature. |
| format | Article |
| id | doaj-art-1d953a0d140e4002ac81e4068f0fdc4e |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-1d953a0d140e4002ac81e4068f0fdc4e2024-12-08T12:42:30ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-10-0184101910.1140/epjc/s10052-024-13377-2Higher order constraints for the ( $$\beta $$ β -deformed) Hermitian matrix modelsRui Wang0Department of Mathematics, China University of Mining and TechnologyAbstract We construct the ( $$\beta $$ 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 ( $$\beta $$ β -deformed) Hermitian matrix models. We prove that these ( $$\beta $$ 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 ( $$\beta $$ β -deformed) partition function hierarchies in the literature.https://doi.org/10.1140/epjc/s10052-024-13377-2 |
| spellingShingle | Rui Wang Higher order constraints for the ( $$\beta $$ β -deformed) Hermitian matrix models European Physical Journal C: Particles and Fields |
| title | Higher order constraints for the ( $$\beta $$ β -deformed) Hermitian matrix models |
| title_full | Higher order constraints for the ( $$\beta $$ β -deformed) Hermitian matrix models |
| title_fullStr | Higher order constraints for the ( $$\beta $$ β -deformed) Hermitian matrix models |
| title_full_unstemmed | Higher order constraints for the ( $$\beta $$ β -deformed) Hermitian matrix models |
| title_short | Higher order constraints for the ( $$\beta $$ β -deformed) Hermitian matrix models |
| title_sort | higher order constraints for the beta β deformed hermitian matrix models |
| url | https://doi.org/10.1140/epjc/s10052-024-13377-2 |
| work_keys_str_mv | AT ruiwang higherorderconstraintsforthebetabdeformedhermitianmatrixmodels |