55 citations · 166 across the 10 of their papers we have counts for
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-deformed (skew) Hurwitz -functions
Fan Liu, A. Mironov, V. Mishnyakov +4
We follow the general recipe for constructing commutative families of -operators, which provides Hurwitz-like expansions in symmetric functions (Macdonald polynomials), in order…
-representations for multi-character partition functions and their -deformations
Lu-Yao Wang, V. Mishnyakov, A. Popolitov +2
In this letter we continue the development of -representations. We propose several generalizations of the known models, such as the hypergeometric Hurwitz -functions. We cons…
Interpolating Matrix Models for WLZZ series
A. Mironov, V. Mishnyakov, A. Morozov +3
We suggest a two-matrix model depending on three (infinite) sets of parameters which interpolates between all the models proposed in arXiv:2206.13038, and defined there through …
Supersymmetric partition function hierarchies and character expansions
Rui Wang, Fan Liu, Min-Li Li +1
We construct the supersymmetric and -deformed Hurwitz-Kontsevich partition functions through -representations and present the corresponding character expansions with…
Superintegrability for (-deformed) partition function hierarchies with -representations
Rui Wang, Fan Liu, Chun-Hong Zhang +1
We construct the (-deformed) partition function hierarchies with -representations. Based on the -representations, we analyze the superintegrability property and derive the…
CFT approach to constraint operators for (-deformed) hermitian one-matrix models
Rui Wang, Chun-Hong Zhang, Fu-Hao Zhang +1
Since the (-deformed) hermitian one-matrix models can be represented as the integrated conformal field theory (CFT) expectation values, we construct the operators in terms of th…
W-representations of the fermionic matrix and Aristotelian tensor models
Lu-Yao Wang, Rui Wang, Ke Wu +1
We show that the fermionic matrix model can be realized by -representation. We construct the Virasoro constraints with higher algebraic structures, where the constraint operator…
Correlators in the Gaussian and chiral supereigenvalue models in the Neveu-Schwarz sector
Rui Wang, Shi-Kun Wang, Ke Wu +1
We analyze the Gaussian and chiral supereigenvalue models in the Neveu-Schwarz sector. We show that their partition functions can be expressed as the infinite sums of the homogeneo…
Correlators in the supereigenvalue model in the Ramond sector
Ying Chen, Rui Wang, Ke Wu +1
We investigate the supereigenvalue model in the Ramond sector. We prove that its partition function can be obtained by acting on elementary functions with exponents of the given op…
constraints for the hermitian one-matrix model
Rui Wang, Ke Wu, Zhao-Wen Yan +2
We construct the multi-variable realizations of the algebra such that they lead to the -algebra. Based on our realizations of the al…