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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

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  • A Combinatorial Study on Quiver Varieties 
    Fujii, S.; Minabe, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    This is an expository paper which has two parts. In the first part, we study quiver varieties of affine A-type from a combinatorial point of view. We present a combinatorial method for obtaining a closed formula for the ...
  • A Complete Set of Invariants for LU-Equivalence of Density Operators 
    Turner, J.; Morton, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We show that two density operators of mixed quantum states are in the same local unitary orbit if and only if they agree on polynomial invariants in a certain Noetherian ring for which degree bounds are known in the ...
  • A Generalization of the Doubling Construction for Sums of Squares Identities 
    Zhang, C.; Huang, H.L. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The doubling construction is a fast and important way to generate new solutions to the Hurwitz problem on sums of squares identities from any known ones. In this short note, we generalize the doubling construction and ...
  • Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary 
    Crampe, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We solve the XXZ Gaudin model with generic boundary using the modified algebraic Bethe ansatz. The diagonal and triangular cases have been recovered in this general framework. We show that the model for odd or even lengths ...
  • A Linear System of Differential Equations Related to Vector-Valued Jack Polynomials on the Torus 
    Dunkl, C.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    For each irreducible module of the symmetric group SN there is a set of parametrized nonsymmetric Jack polynomials in N variables taking values in the module. These polynomials are simultaneous eigenfunctions of a commutative ...
  • An Application of the Moving Frame Method to Integral Geometry in the Heisenberg Group 
    Hung-Lin Chiu; Yen-Chang Huang; Sin-Hua Lai (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We show the fundamental theorems of curves and surfaces in the 3-dimensional Heisenberg group and find a complete set of invariants for curves and surfaces respectively. The proofs are based on Cartan's method of moving ...
  • An Elliptic Garnier System from Interpolation 
    Yamada, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Considering a certain interpolation problem, we derive a series of elliptic difference isomonodromic systems together with their Lax forms. These systems give a multivariate extension of the elliptic Painlevé equation.
  • An Energy Gap for Complex Yang-Mills Equations 
    Huang, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We use the energy gap result of pure Yang-Mills equation [Feehan P.M.N., Adv. Math. 312 (2017), 547-587] to prove another energy gap result of complex Yang-Mills equations [Gagliardo M., Uhlenbeck K., J. Fixed Point Theory ...
  • Another Approach to Juhl's Conformally Covariant Differential Operators from Sⁿ to Sⁿ⁻¹ 
    Clerc, Jean-Louis (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    A family (Dλ)λ∈C of differential operators on the sphere Sⁿ is constructed. The operators are conformally covariant for the action of the subgroup of conformal transformations of Sⁿ which preserve the smaller sphere Sⁿ⁻¹ ...
  • A Projective-to-Conformal Fefferman-Type Construction 
    Hammerl, M.; Sagerschnig, K.; Šilhan, J.; Taghavi-Chabert, A.; Zádník, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We study a Fefferman-type construction based on the inclusion of Lie groups SL(n+1) into Spin(n+1,n+1). The construction associates a split-signature (n,n)-conformal spin structure to a projective structure of dimension ...
  • Asymptotic Representations of Quantum Affine Superalgebras 
    Zhang, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We study representations of the quantum affine superalgebra associated with a general linear Lie superalgebra. In the spirit of Hernandez-Jimbo, we construct inductive systems of Kirillov-Reshetikhin modules based on a ...
  • A Universal Genus-Two Curve from Siegel Modular Forms 
    Malmendier, A.; Shaska, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Let p be any point in the moduli space of genus-two curves M2 and K its field of moduli. We provide a universal equation of a genus-two curve Cα,β defined over K(α,β), corresponding to p, where α and β satisfy a quadratic ...
  • A Variation of the q-Painlevé System with Affine Weyl Group Symmetry of Type E₇⁽¹⁾ 
    Nagao, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Recently a certain q-Painlevé type system has been obtained from a reduction of the q-Garnier system. In this paper it is shown that the q-Painlevé type system is associated with another realization of the affine Weyl group ...
  • 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 ...

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