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 |
| Published: |
Elsevier
2025-02-01
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| Series: | Physics Letters B |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269325000462 |
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| Summary: | 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. |
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| ISSN: | 0370-2693 |