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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Bethe Vectors for Composite Models with gl(2|1) and gl(1|2) Supersymmetry 
    Fuksa, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Supersymmetric composite generalized quantum integrable models solvable by the algebraic Bethe ansatz are studied. Using a coproduct in the bialgebra of monodromy matrix elements and their action on Bethe vectors, formulas ...
  • Bôcher and Abstract Contractions of 2nd Order Quadratic Algebras 
    Escobar Ruiz, M.A.; Kalnins, E.G.; Miller Jr., W.; Subag, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Quadratic algebras are generalizations of Lie algebras which include the symmetry algebras of 2nd order superintegrable systems in 2 dimensions as special cases. The superintegrable systems are exactly solvable physical ...
  • Central Configurations and Mutual Differences 
    Ferrario, D.L. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Central configurations are solutions of the equations λmjqj=∂U/∂qj, where U denotes the potential function and each qj is a point in the d-dimensional Euclidean space E≅Rd, for j=1,…,n. We show that the vector of the mutual ...
  • Check-Operators and Quantum Spectral Curves 
    Mironov, A.; Morozov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We review the basic properties of effective actions of families of theories (i.e., the actions depending on additional non-perturbative moduli along with perturbative couplings), and their description in terms of operators ...
  • Classical and Quantum Superintegrability of Stäckel Systems 
    Błaszak, M.; Marciniak, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In this paper we discuss maximal superintegrability of both classical and quantum Stäckel systems. We prove a sufficient condition for a flat or constant curvature Stäckel system to be maximally superintegrable. Further, ...
  • Classification of a Subclass of Two-Dimensional Lattices via Characteristic Lie Rings 
    Habibullin, I.; Poptsova, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The main goal of the article is testing a new classification algorithm. To this end we apply it to a relevant problem of describing the integrable cases of a subclass of two-dimensional lattices.
  • Classification of Multidimensional Darboux Transformations: First Order and Continued Type 
    Hobby, D.; Shemyakova, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We analyze Darboux transformations in very general settings for multidimensional linear partial differential operators. We consider all known types of Darboux transformations, and present a new type. We obtain a full ...
  • Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results 
    Bossé, E.-O.; Vinet, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The analytic specifications of photonic lattices with fractional revival (FR) and perfect state transfer (PST) are reviewed. The approach to their design which is based on orthogonal polynomials is highlighted. A compendium ...
  • Connected Lie Groupoids are Internally Connected and Integral Complete in Synthetic Differential Geometry 
    Burke, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We extend some fundamental definitions and constructions in the established generalisation of Lie theory involving Lie groupoids by reformulating them in terms of groupoids internal to a well-adapted model of synthetic ...
  • Contact Isotropic Realisations of Jacobi Manifolds via Spencer Operators 
    Salazar, M.A.; Sepe, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Motivated by the importance of symplectic isotropic realisations in the study of Poisson manifolds, this paper investigates the local and global theory of contact isotropic realisations of Jacobi manifolds, which are those ...
  • Contractions of Degenerate Quadratic Algebras, Abstract and Geometric 
    Escobar Ruiz, M.A.; Subag, E.; Miller Jr., W. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Quadratic algebras are generalizations of Lie algebras which include the symmetry algebras of 2nd order superintegrable systems in 2 dimensions as special cases. The superintegrable systems are exactly solvable physical ...
  • Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation 
    Shi, Y.; Nimmo, J.; Zhao, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The paper presents two results. First it is shown how the discrete potential modified KdV equation and its Lax pairs in matrix form arise from the Hirota-Miwa equation by a 2-periodic reduction. Then Darboux transformations ...
  • Derivations and Spectral Triples on Quantum Domains I: Quantum Disk 
    Klimek, S.; McBride, M.; Rathnayake, S.; Sakai, K.; Wang, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We study unbounded invariant and covariant derivations on the quantum disk. In particular we answer the question whether such derivations come from operators with compact parametrices and thus can be used to define spectral ...
  • Differential Calculus on h-Deformed Spaces 
    Herlemont, B.; Ogievetsky, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We construct the rings of generalized differential operators on the h-deformed vector space of gl-type. In contrast to the q-deformed vector space, where the ring of differential operators is unique up to an isomorphism, ...
  • Doran-Harder-Thompson Conjecture via SYZ Mirror Symmetry: Elliptic Curves 
    Kanazawa, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We prove the Doran-Harder-Thompson conjecture in the case of elliptic curves by using ideas from SYZ mirror symmetry. The conjecture claims that when a Calabi-Yau manifold X degenerates to a union of two quasi-Fano manifolds ...
  • Drinfeld J Presentation of Twisted Yangians 
    Belliard, S.; Regelskis, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We present a quantization of a Lie coideal structure for twisted half-loop algebras of finite-dimensional simple complex Lie algebras. We obtain algebra closure relations of twisted Yangians in Drinfeld J presentation for ...
  • Elliptic Determinantal Processes and Elliptic Dyson Models 
    Katori, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We introduce seven families of stochastic systems of interacting particles in one-dimension corresponding to the seven families of irreducible reduced affine root systems. We prove that they are determinantal in the sense ...
  • Equivariant Gromov-Witten Invariants of Algebraic GKM Manifolds 
    Liu, Chiu-Chu Melissa; Sheshmani, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    An algebraic GKM manifold is a non-singular algebraic variety equipped with an algebraic action of an algebraic torus, with only finitely many torus fixed points and finitely many 1-dimensional orbits. In this expository ...
  • Ermakov-Painlevé II Symmetry Reduction of a Korteweg Capillarity System 
    Rogers, C.; Clarkson, P.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    A class of nonlinear Schrödinger equations involving a triad of power law terms together with a de Broglie-Bohm potential is shown to admit symmetry reduction to a hybrid Ermakov-Painlevé II equation which is linked, in ...
  • Factorizable R-Matrices for Small Quantum Groups 
    Lentner, S.; Ohrmann, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Representations of small quantum groups uq(g) at a root of unity and their extensions provide interesting tensor categories, that appear in different areas of algebra and mathematical physics. There is an ansatz by Lusztig ...

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