Zobrazeno 1 - 10
of 39 061
pro vyhledávání: '"A. Mironov"'
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 9, Pp 1-68 (2024)
Abstract We extend our consideration of commutative subalgebras (rays) in different representations of the W 1+∞ algebra to the elliptic Hall algebra (or, equivalently, to the Ding-Iohara-Miki (DIM) algebra U q , t gl ̂ ̂ 1 $$ {U}_{q,t}\left({\ha
Externí odkaz:
https://doaj.org/article/771cbe055b744d0c952282b4f1d9b76e
Publikováno v:
European Physical Journal C: Particles and Fields, Vol 84, Iss 7, Pp 1-13 (2024)
Abstract We consider a two $$\beta $$ β -ensemble realization of the series of $$\beta $$ β -deformed WLZZ matrix models. We demonstrate that such a realization involves $$\beta $$ β -deformed Harish-Chandra–Itzykson–Zuber integrals, one of th
Externí odkaz:
https://doaj.org/article/0d4de7ed18aa43a9a70e56a4ec25fa2a
Publikováno v:
Physics Letters B, Vol 852, Iss , Pp 138593- (2024)
We work out explicit formulas for correlators in the Gaussian matrix model perturbed by a logarithmic potential, i.e. by inserting Miwa variables. In this paper, we concentrate on the example of a single Miwa variable. The ordinary Gaussian model is
Externí odkaz:
https://doaj.org/article/8f07f281edff445499d9b72c7f265bf7
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
Autor:
A. Mironov, A. Morozov
Publikováno v:
Nuclear Physics B, Vol 999, Iss , Pp 116448- (2024)
A detailed review of the p,q-duality for Calogero system and its generalizations is given. For the first time, we present some of elliptic-trigonometric Hamiltonians dual to the elliptic Ruijsenaars Hamiltonians (i.e. trigonometric-elliptic ones), an
Externí odkaz:
https://doaj.org/article/d62ad706d5464c3fa718e49907a519d5
Publikováno v:
Physics Letters B, Vol 849, Iss , Pp 138426- (2024)
It was demonstrated recently that the W1+∞ algebra contains commutative subalgebras associated with all integer slope rays (including the vertical one). In this paper, we realize that every element of such a ray is associated with a generalized W˜
Externí odkaz:
https://doaj.org/article/0c1791eeec5e41aaa5c973f4eb61ab97
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
Autor:
A. Mironov, A. Morozov
Publikováno v:
Journal of High Energy Physics, Vol 2023, Iss 3, Pp 1-36 (2023)
Abstract We explain how the spectral curve can be extracted from the W $$ \mathcal{W} $$ -representation of a matrix model. It emerges from the part of the W $$ \mathcal{W} $$ -operator, which is linear in time-variables. A possibility of extracting
Externí odkaz:
https://doaj.org/article/e41664307011416798f15be843ada065
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