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...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2021-12-01
|
| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321321003096 |
| _version_ | 1818574460064628736 |
|---|---|
| author | Lu-Yao Wang Rui Wang Ke Wu Wei-Zhong Zhao |
| author_facet | Lu-Yao Wang Rui Wang Ke Wu Wei-Zhong Zhao |
| author_sort | Lu-Yao Wang |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-15T00:26:56Z |
| format | Article |
| id | doaj.art-7ed27143b08b42f8aa858c7351f3ba55 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-15T00:26:56Z |
| publishDate | 2021-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-7ed27143b08b42f8aa858c7351f3ba552022-12-21T22:42:08ZengElsevierNuclear Physics B0550-32132021-12-01973115612W-representations of the fermionic matrix and Aristotelian tensor modelsLu-Yao Wang0Rui Wang1Ke Wu2Wei-Zhong Zhao3School of Mathematical Sciences, Capital Normal University, Beijing 100048, ChinaDepartment of Mathematics, China University of Mining and Technology, Beijing 100083, ChinaSchool of Mathematical Sciences, Capital Normal University, Beijing 100048, ChinaSchool of Mathematical Sciences, Capital Normal University, Beijing 100048, China; Corresponding author.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.http://www.sciencedirect.com/science/article/pii/S0550321321003096 |
| spellingShingle | Lu-Yao Wang Rui Wang Ke Wu Wei-Zhong Zhao W-representations of the fermionic matrix and Aristotelian tensor models Nuclear Physics B |
| title | W-representations of the fermionic matrix and Aristotelian tensor models |
| title_full | W-representations of the fermionic matrix and Aristotelian tensor models |
| title_fullStr | W-representations of the fermionic matrix and Aristotelian tensor models |
| title_full_unstemmed | W-representations of the fermionic matrix and Aristotelian tensor models |
| title_short | W-representations of the fermionic matrix and Aristotelian tensor models |
| title_sort | w representations of the fermionic matrix and aristotelian tensor models |
| url | http://www.sciencedirect.com/science/article/pii/S0550321321003096 |
| work_keys_str_mv | AT luyaowang wrepresentationsofthefermionicmatrixandaristoteliantensormodels AT ruiwang wrepresentationsofthefermionicmatrixandaristoteliantensormodels AT kewu wrepresentationsofthefermionicmatrixandaristoteliantensormodels AT weizhongzhao wrepresentationsofthefermionicmatrixandaristoteliantensormodels |