Zobrazeno 1 - 10
of 50
pro vyhledávání: '"V. Mishnyakov"'
Publikováno v:
European Physical Journal C: Particles and Fields, Vol 83, Iss 12, Pp 1-7 (2023)
Abstract We argue that the recently discovered bilinear superintegrability http://arxiv.org/2206.02045 generalizes, in a non-trivial way, to monomial matrix models in pure phase. The structure is much richer: for the trivial core Schur functions requ
Externí odkaz:
https://doaj.org/article/113140383d194be78927eab41cad89a2
Publikováno v:
Physics Letters B, Vol 851, Iss , Pp 138570- (2024)
In this letter we continue the development of W-representations. We propose several generalizations of the known models, such as the hypergeometric Hurwitz τ-functions. We construct W-representations for multi-character expansions, which involve a g
Externí odkaz:
https://doaj.org/article/827221dcedd04559b64dc3529e3c4635
Publikováno v:
Nuclear Physics B, Vol 1001, Iss , Pp 116504- (2024)
Matrix elements in different representations are connected by quadratic relations. If matrix elements are those of a group element, i.e. satisfying the property Δ(X)=X⊗X, then their generating functions obey bilinear Hirota equations and hence are
Externí odkaz:
https://doaj.org/article/493c01375cf84ff3997aefcee6aa6793
Publikováno v:
Journal of High Energy Physics, Vol 2023, Iss 9, Pp 1-60 (2023)
Abstract We explain that the set of new integrable systems, generalizing the Calogero family and implied by the study of WLZZ models, which was described in arXiv:2303.05273 , is only the tip of the iceberg. We provide its wide generalization and exp
Externí odkaz:
https://doaj.org/article/787b7b71c7954a91ad2f7586dca92bbd
Publikováno v:
European Physical Journal C: Particles and Fields, Vol 83, Iss 5, Pp 1-8 (2023)
Abstract We suggest a two-matrix model depending on three (infinite) sets of parameters which interpolates between all the models proposed in Wang et al. (Eur Phys J C 82:902, arXiv:2206.13038 , 2022) and defined there through W-representations. We a
Externí odkaz:
https://doaj.org/article/7cf12b1b51804e78b99943817d434440
Publikováno v:
Physics Letters B, Vol 845, Iss , Pp 138122- (2023)
We demonstrate that commutativity of numerous one-dimensional subalgebras in W1+∞ algebra, i.e. the existence of many non-trivial integrable systems described in recent arXiv:2303.05273 follows from the subset of relations in algebra known as Serre
Externí odkaz:
https://doaj.org/article/5306162eea7a4348adfdec4b50a40e9f
Publikováno v:
Nuclear Physics B, Vol 993, Iss , Pp 116283- (2023)
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 (q,t)-defo
Externí odkaz:
https://doaj.org/article/37ae000f43f846468be00a2c69f578d1
Publikováno v:
Nuclear Physics B, Vol 992, Iss , Pp 116245- (2023)
The answers for Feynman diagrams satisfy various kinds of differential equations – which is not a surprise, because they are defined as Gaussian correlators, possessing a vast variety of Ward identities and superintegrability properties. We study t
Externí odkaz:
https://doaj.org/article/ff5aa4e66cf547d89509a440ec157466
Autor:
V. Mishnyakov, A. Oreshina
Publikováno v:
European Physical Journal C: Particles and Fields, Vol 82, Iss 6, Pp 1-8 (2022)
Abstract This paper is devoted to the phenomenon of superintegrability. This phenomenon is manifested in the existence of a formula for character averages, expressed through the same characters at special points and of its various generalization. In
Externí odkaz:
https://doaj.org/article/58fcec1a2f6a42838134d1fc413485ce
Publikováno v:
Physics Letters B, Vol 839, Iss , Pp 137805- (2023)
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 models. Rece
Externí odkaz:
https://doaj.org/article/ed4f01cb032f435dab8de97a93055fb1