55 citations · 274 across the 23 of their papers we have counts for
25 papers
Catalan polynomials for the Wishart-Laguerre -ensemble
Bei Kang, Lu-Yao Wang, Ke Wu +1
By means of -representation, we investigate the Wishart-Laguerre -ensemble and present a compact expression for Catalan polynomials. For a special Nekrasov partition function…
Superintegrability for some -deformed matrix models
Fan Liu, Rui Wang, Jie Yang +1
We analyze the Macdonald's -deformed hypergeometric functions with one and two set variables and present their constraints. We prove the uniqueness to the solutions of these…
Correlators in two rainbow tensor and complex multi-matrix models
Bei Kang, Lu-Yao Wang, Ke Wu +1
We construct two rainbow tensor models with multi-tensors of rank- and present their -representations. We give the formula of counting number of independent gauge-invariant o…
Calogero-Sutherland-type quantum systems, generalized hypergeometric functions and superintegrability for integral chains
Fan Liu, Rui Wang, Jie Yang +1
We reinvestigate the Calogero-Sutherland-type (CS-type) models and generalized hypergeometric functions. We construct the generalized CS operators for circular, Hermite, Laguerre,…
Generalized and -deformed partition functions with -representations and Nekrasov partition functions
Fan Liu, Rui Wang, Jie Yang +1
We construct the generalized and -deformed partition functions through representations, where the expansions are respectively with respect to the generalized Jack an…
-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…
On KP-integrable skew Hurwitz -functions and their -deformations
A. Mironov, V. Mishnyakov, A. Morozov +2
We extend the old formalism of cut-and-join operators in the theory of Hurwitz -functions to description of a wide family of KP-integrable {\it skew} Hurwitz -functions, whic…
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 …
A two-tensor model with order-three
Bei Kang, Lu-Yao Wang, Ke Wu +1
We construct a two-tensor model with order-3 and present its -representation. Moreover we derive the compact expressions of correlators from the -representation and analyze t…
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…
W-representation of Rainbow tensor model
Bei Kang, Lu-Yao Wang, Ke Wu +2
We analyze the rainbow tensor model and present the Virasoro constraints, where the constraint operators obey the Witt algebra and null 3-algebra. We generalize the method of W-rep…
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…
Exact correlators in the Gaussian Hermitian matrix model
Bei Kang, Ke Wu, Zhao-Wen Yan +2
We present the constraints for the Gaussian Hermitian matrix model, where the constructed constraint operators yield the -algebra. For the Virasoro…
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…
On -algebra
Chun-Hong Zhang, Lu Ding, Zhao-Wen Yan +2
We present the nontrivial -algebra and analyze its remarkable properties. We investigate the -algebra in the Landau problem and discuss the real…
3-Algebraic structures of the quantum Calogero-Moser model
Chun-Hong Zhang, Lu Ding, Zhao-Wen Yan +2
We investigate the quantum Calogero-Moser model and reveal its hidden symmetries, i.e., the and Virasoro-Witt 3-algebras. In the large limit, we note that these…
On q-deformed infinite-dimensional n-algebra
Lu Ding, Xiao-Yu Jia, Ke Wu +2
The -deformation of the infinite-dimensional -algebra is investigated. Based on the structure of the -deformed Virasoro-Witt algebra, we derive a nontrivial -deformed V…
On 3-algebra and integrable system
Min-Ru Chen, Shi-Kun Wang, Xiao-Li Wang +2
We construct the 3-algebra and investigate the relation between this infinite-dimensional 3-algebra and the integrable systems. Since the 3-algebra wi…
Infinite-dimensional 3-algebra and integrable system
Min-Ru Chen, Shi-Kun Wang, Ke Wu +1
The relation between the infinite-dimensional 3-algebras and the dispersionless KdV hierarchy is investigated. Based on the infinite-dimensional 3-algebras, we derive two compatibl…
Super 3-algebra
Min-Ru Chen, Ke Wu, Wei-Zhong Zhao
We investigate the super high-order Virasoro 3-algebra. By applying the appropriate scaling limits on the generators, we obtain the super 3-algebra which satisfies the…