Wei‐Zhong Zhao
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View article: Superintegrability for some $(q,t)$-deformed matrix models
Superintegrability for some $(q,t)$-deformed matrix models Open
We analyze the $(q,t)$-deformed hypergeometric functions and present their constraints. We propose a concise method to prove the superintegrability relations for some well-known $(q,t)$-deformed matrix models, where hypergeometric constrai…
View article: Calogero-Sutherland-type quantum systems, generalized hypergeometric functions and superintegrability for integral chains
Calogero-Sutherland-type quantum systems, generalized hypergeometric functions and superintegrability for integral chains Open
A bstract We reinvestigate the Calogero-Sutherland-type (CS-type) models and generalized hypergeometric functions. We construct the generalized CS operators for circular, Hermite, Laguerre, Jacobi and Bessel cases and establish the general…
View article: Correlators in two rainbow tensor and complex multi-matrix models
Correlators in two rainbow tensor and complex multi-matrix models Open
We construct two rainbow tensor models with multi-tensors of rank-3 and present their W -representations. We give the formula of counting number of independent gauge-invariant operators in terms of Hurwitz numbers and establish a one-to-on…
View article: A conditional denoising VAE-based framework for antimicrobial peptides generation with preserving desirable properties
A conditional denoising VAE-based framework for antimicrobial peptides generation with preserving desirable properties Open
Motivation The widespread use of antibiotics has led to the emergence of resistant pathogens. Antimicrobial peptides (AMPs) combat bacterial infections by disrupting the integrity of cell membranes, making it challenging for bacteria to de…
View article: Generalized $β$ and $(q,t)$-deformed partition functions with $W$-representations and Nekrasov partition functions
Generalized $β$ and $(q,t)$-deformed partition functions with $W$-representations and Nekrasov partition functions Open
We construct the generalized $β$ and $(q,t)$-deformed partition functions through $W$ representations, where the expansions are respectively with respect to the generalized Jack and Macdonald polynomials labeled by $N$-tuple of Young diagr…
View article: A two-tensor model with order-three
A two-tensor model with order-three Open
We construct a two-tensor model with order-3 and present its W -representation. Moreover we derive the compact expressions of correlators from the W -representation and analyze the free energy in large N limit. In addition, we establish th…
View article: Supersymmetric partition function hierarchies and character expansions
Supersymmetric partition function hierarchies and character expansions Open
We construct the supersymmetric $$\beta $$ and ( q , t )-deformed Hurwitz–Kontsevich partition functions through W -representations and present the corresponding character expansions with respect to the Jack and Macdonald superpolynomials…
View article: (q,t)-deformed (skew) Hurwitz τ-functions
(q,t)-deformed (skew) Hurwitz τ-functions Open
We follow the general recipe for constructing commutative families of W-operators, which provides Hurwitz-like expansions in symmetric functions (Macdonald polynomials), in order to obtain a difference operator example that gives rise to a…
View article: $(q,t)$-deformed (skew) Hurwitz $τ$-functions
$(q,t)$-deformed (skew) Hurwitz $τ$-functions Open
We follow the general recipe for constructing commutative families of $W$-operators, which provides Hurwitz-like expansions in symmetric functions (Macdonald polynomials), in order to obtain a difference operator example that gives rise to…
View article: On KP-integrable skew Hurwitz τ-functions and their β-deformations
On KP-integrable skew Hurwitz τ-functions and their β-deformations Open
We extend the old formalism of cut-and-join operators in the theory of Hurwitz τ-functions to description of a wide family of KP-integrable skew Hurwitz τ-functions, which include, in particular, the newly discovered interpolating WLZZ mod…
View article: On KP-integrable skew Hurwitz $τ$-functions and their $β$-deformations
On KP-integrable skew Hurwitz $τ$-functions and their $β$-deformations Open
We extend the old formalism of cut-and-join operators in the theory of Hurwitz $τ$-functions to description of a wide family of KP-integrable {\it skew} Hurwitz $τ$-functions, which include, in particular, the newly discovered interpolatin…
View article: A two-tensor model with order-three
A two-tensor model with order-three Open
We construct a two-tensor model with order-3 and present its $W$-representation. Moreover we derive the compact expressions of correlators from the $W$-representation and analyze the free energy in large $N$ limit. In addition, we establis…
View article: Interpolating Matrix Models for WLZZ series
Interpolating Matrix Models for WLZZ series Open
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 $W$-representations. We also discuss further generalizations o…
View article: Superintegrability for ($$\beta $$-deformed) partition function hierarchies with W-representations
Superintegrability for ($$\beta $$-deformed) partition function hierarchies with W-representations Open
View article: CFT approach to constraint operators for (β-deformed) hermitian one-matrix models
CFT approach to constraint operators for (β-deformed) hermitian one-matrix models Open
View article: Supersymmetric partition function hierarchies and character expansions
Supersymmetric partition function hierarchies and character expansions Open
We construct the supersymmetric $β$ and $(q,t)$-deformed Hurwitz-Kontsevich partition functions through $W$-representations and present the corresponding character expansions with respect to the Jack and Macdonald superpolynomials, respect…
View article: Superintegrability for ($β$-deformed) partition function hierarchies with $W$-representations
Superintegrability for ($β$-deformed) partition function hierarchies with $W$-representations Open
We construct the ($β$-deformed) partition function hierarchies with $W$-representations. Based on the $W$-representations, we analyze the superintegrability property and derive their character expansions with respect to the Schur functions…
View article: CFT approach to constraint operators for ($β$-deformed) hermitian one-matrix models
CFT approach to constraint operators for ($β$-deformed) hermitian one-matrix models Open
Since the ($β$-deformed) hermitian one-matrix models can be represented as the integrated conformal field theory (CFT) expectation values, we construct the operators in terms of the generators of the Heisenberg algebra such that the constr…
View article: Enhanced Coalbed Methane Recovery by the Modification of Coal Reservoir Under the Supercritical Co2 Extraction and Anaerobic Digestion
Enhanced Coalbed Methane Recovery by the Modification of Coal Reservoir Under the Supercritical Co2 Extraction and Anaerobic Digestion Open
View article: W-representations of the fermionic matrix and Aristotelian tensor models
W-representations of the fermionic matrix and Aristotelian tensor models Open
View article: W-representation of Rainbow tensor model
W-representation of Rainbow tensor model Open
View article: W-representation of Rainbow tensor model
W-representation of Rainbow tensor model Open
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-representation in matrix model to the rainbow tensor model, wh…
View article: Correlators in the supereigenvalue model in the Ramond sector
Correlators in the supereigenvalue model in the Ramond sector Open
We investigate the supereigenvalue model in the Ramond sector. We prove that\nits partition function can be obtained by acting on elementary functions with\nexponents of the given operators. The Virasoro constraints for this\nsupereigenval…
View article: Exact correlators in the Gaussian Hermitian matrix model
Exact correlators in the Gaussian Hermitian matrix model Open
We present the $W_{1+\\infty}$ constraints for the Gaussian Hermitian matrix\nmodel, where the constructed constraint operators yield the $W_{1+\\infty}$\n$n$-algebra. For the Virasoro constraints, we note that the constraint\noperators gi…
View article: Generalized q-W∞ constraints for the elliptic hermitian matrix model
Generalized q-W∞ constraints for the elliptic hermitian matrix model Open
We construct the generalized W1+∞ algebra with the multi-variable realization and derive its n-algebra which is the generalized Lie algebra for even n case. Then we reinvestigate the elliptic hermitian matrix model and present the generali…
View article: TMD1 domain and CRAC motif determine the association and disassociation of MxIRT1 with detergent‐resistant membranes
TMD1 domain and CRAC motif determine the association and disassociation of MxIRT1 with detergent‐resistant membranes Open
Iron is essential for most living organisms. The iron‐regulated transporter1 (IRT1) plays a major role in iron uptake in roots, and its trafficking from endoplasmic reticulum (ER) to plasma membrane (PM) is tightly coordinated with changes…
View article: <i>Zea mays</i> Fe deficiency‐related 4 (Zm<scp>FDR</scp>4) functions as an iron transporter in the plastids of monocots
<i>Zea mays</i> Fe deficiency‐related 4 (Zm<span>FDR</span>4) functions as an iron transporter in the plastids of monocots Open
Summary Iron (Fe)‐homeostasis in the plastids is closely associated with Fe transport proteins that prevent Fe from occurring in its toxic free ionic forms. However, the number of known protein families related to Fe transport in the plast…
View article: Infinite-dimensional n-algebra in the Landau problem
Infinite-dimensional n-algebra in the Landau problem Open
We investigate the $W_{1+\infty}$ $n$-algebra in the Landau problem. When $n$ is even, the $W_{1+\infty}$ $n$-algebra is the so-called generalized Lie algebra which satisfies the generalized Jacobi identity. It is found that for the genera…
View article: On $W_{1+\infty}$ $n$-algebra
On $W_{1+\infty}$ $n$-algebra Open
We present the nontrivial $W_{1+\infty}$ $n$-algebra and analyze its remarkable properties. We investigate the $W_{1+\infty}$ $n$-algebra in the Landau problem and discuss the realization of the classical $w_{\infty}$ 3-algebra. Furthermor…
View article: On q-deformed infinite-dimensional n-algebra
On q-deformed infinite-dimensional n-algebra Open
The q-deformation of the infinite-dimensional n-algebras is investigated. Based on the structure of the q-deformed Virasoro–Witt algebra, we derive a nontrivial q-deformed Virasoro–Witt n-algebra which is nothing but a sh-n-Lie algebra. Fu…