W-representations of the fermionic matrix and Aristotelian tensor models
We show that the fermionic matrix model can be realized by W-representation. We construct the Virasoro constraints with higher algebraic structures, where the constraint operators obey the Witt algebra and null 3-algebra. The remarkable feature is that the character expansion of the partition functi...
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| Main Authors: | , , , |
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| Format: | article |
| Language: | EN |
| Published: |
Elsevier
2021
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| Subjects: | |
| Online Access: | https://doaj.org/article/7ed27143b08b42f8aa858c7351f3ba55 |
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| Summary: | We show that the fermionic matrix model can be realized by W-representation. We construct the Virasoro constraints with higher algebraic structures, where the constraint operators obey the Witt algebra and null 3-algebra. The remarkable feature is that the character expansion of the partition function can be easily derived from such Virasoro constraints. It is a τ-function of the KP hierarchy. We construct the fermionic Aristotelian tensor model and give its W-representation. Moreover, we analyze the fermionic red tensor model and present the W-representation and character expansion of the partition function. |
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