Finding identities and q-difference equations for new classes of bivariate q-matrix polynomials
Applied Mathematics in Science and EngineeringThis article introduces 2-variable q-Hermite matrix polynomials and delves into their complex representation, unravelling specific outcomes. The exploration encompasses the derivation of insightful identities for the q-cosine and q-sine analogues of the ...
Subuhi Khan, Hassan Ali, Mohammed Fadel
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Non-anomalous `Ward' identities to supplement large-Nmulti-matrix loop equations for correlations [PDF]
Journal of High Energy Physics, 2007 35 pages, reference added, minor typos corrected, published ...
Akant, L., Krishnaswami, G. S.
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Equations of motion as constraints: superselection rules, Ward identities [PDF]
Journal of High Energy Physics, 2017 The meaning of local observables is poorly understood in gauge theories, not to speak of quantum gravity. As a step towards a better understanding we study asymptotic (infrared) transformations in local quantum physics.
M. Asorey +3 more
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Sobolev-type regularity and Pohozaev-type identities for some degenerate and singular problems [PDF]
Rendiconti Lincei - Matematica e Applicazioni, 2022 on the bottom of a half (N + 1)-dimensional ball. The interest in such a type of equations and related regularity issues has developed starting from the pioneering paper [7], proving local Hölder continuity results and Harnack’s inequalities, and has ...
V. Felli, Giovanni Siclari
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AGT correspondence, (q-)Painlevè equations and matrix models
Nuclear Physics B, 2022 Painlevè equation for conformal blocks is a combined corollary of integrability and Ward identities, which can be explicitly revealed in the matrix model realization of AGT relations.
A. Mironov +3 more
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Matrix Capelli identities related to reflection equation algebra
Journal of Geometry and Physics, 2022 By using the notion of a quantum double we introduce analogs of partial derivatives on a Reflection Equation algebra, associated with a Hecke symmetry of GL(N) type. We construct the matrix L=MD, where M is the generating matrix of the Reflection Equation algebra and D is the matrix composed of the quantum partial derivatives and prove that the ...
Dimitri Gurevich +2 more
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On refined Chern–Simons and refined ABJ matrix models [PDF]
Letters in Mathematical Physics, 2021 We consider the matrix model of U(N) refined Chern–Simons theory on S3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek ...
L. Cassia, M. Zabzine
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Exact solution of the q-deformed D3(1) vertex model with open boundaries
Nuclear Physics B, 2023 In this paper, we study the exact solution of the q-deformed D3(1) quantum lattice model with non-diagonal open boundary condition. We demonstrate the crossing symmetry of the transfer matrix and obtain the quantum determinant.
Guang-Liang Li +3 more
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Investigation of Matrices Q^(n._L ), M^(n._L ) and R^(n._L ) and Some Related Identities
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022 In this study, it is aimed to use the Lorenz matrix multiplication to find the n^th powers of some special matrices and to reach the quadratic equations and characteristic roots of the matrices obtained in this way. In addition, it is aimed to contribute
Ali Hikmet Değer, İbrahim Gökcan
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TE-Polarized Electromagnetic Wave Diffraction by a Circular Slotted Cylinder
Mathematics, 2023 The problem of diffraction of a TE-polarized electromagnetic wave by a circular slotted cylinder is investigated. The boundary value problem in question for the Helmholtz equation is reduced to an infinite system of linear algebraic equations of the ...
Garnik V. Abgaryan, Yury V. Shestopalov
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