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arXiv · 2110.14269

W-representations of the fermionic matrix and Aristotelian tensor models

Lu-Yao Wang·Rui Wang·Ke Wu·Wei-Zhong Zhao
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Abstract

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 $\tau$-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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Lu-Yao Wang, Rui Wang, Ke Wu, Wei-Zhong Zhao. 2021-10-27. W-representations of the fermionic matrix and Aristotelian tensor models. https://doi.org/10.1016/j.nuclphysb.2021.115612

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