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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік за датою випуску

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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік за датою випуску

Сортувати за: Порядок: Результатів:

  • Polynomial Relations for q-Characters via the ODE/IM Correspondence 
    Sun, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Let Uq(b) be the Borel subalgebra of a quantum affine algebra of type X⁽¹⁾n (X=A,B,C,D). Guided by the ODE/IM correspondence in quantum integrable models, we propose conjectural polynomial relations among the q-characters ...
  • A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers 
    Llibre, J.; Peralta-Salas, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We prove a sufficient condition for the existence of explicit first integrals for vector fields which admit an integrating factor. This theorem recovers and extends previous results in the literature on the integrability ...
  • Mutations of Laurent Polynomials and Flat Families with Toric Fibers 
    Ilten, N.O. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We give a general criterion for two toric varieties to appear as fibers in a flat family over P¹. We apply this to show that certain birational transformations mapping a Laurent polynomial to another Laurent polynomial ...
  • CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae 
    van de Leur, J. W.; Orlov, A.Y.; Shiota, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We develop the theory of CKP hierarchy introduced in the papers of Kyoto school [Date E., Jimbo M., Kashiwara M., Miwa T., J. Phys. Soc. Japan 50 (1981), 3806-3812] (see also [Kac V.G., van de Leur J.W., Adv. Ser. Math. ...
  • Building Abelian Functions with Generalised Baker-Hirota Operators 
    England, M.; Athorne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We present a new systematic method to construct Abelian functions on Jacobian varieties of plane, algebraic curves. The main tool used is a symmetric generalisation of the bilinear operator defined in the work of Baker and ...
  • On Free Pseudo-Product Fundamental Graded Lie Algebras 
    Yatsui, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this paper we first state the classification of the prolongations of complex free fundamental graded Lie algebras. Next we introduce the notion of free pseudo-product fundamental graded Lie algebras and study the ...
  • Some Remarks on Very-Well-Poised ₈∅₇ Series 
    Stokman, J.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Nonpolynomial basic hypergeometric eigenfunctions of the Askey-Wilson second order difference operator are known to be expressible as very-well-poised ₈∅₇ series. In this paper we use this fact to derive various basic ...
  • A New Class of Solvable Many-Body Problems 
    Calogero, F.; Yi, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A new class of solvable N-body problems is identified. They describe N unit-mass point particles whose time-evolution, generally taking place in the complex plane, is characterized by Newtonian equations of motion ''of ...
  • Discrete Fourier Analysis and Chebyshev Polynomials with G₂ Group 
    Li, H.; Sun, J.; Xu, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The discrete Fourier analysis on the 30°-60°-90° triangle is deduced from the corresponding results on the regular hexagon by considering functions invariant under the group G₂, which leads to the definition of four families ...
  • A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction 
    An, H.; Rogers, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A 2+1-dimensional anisentropic magnetogasdynamic system with a polytropic gas law is shown to admit an integrable elliptic vortex reduction when γ=2 to a nonlinear dynamical subsystem with underlying integrable Hamiltonian-Ermakov ...
  • The Vertex Algebra M(1)⁺ and Certain Affine Vertex Algebras of Level −1 
    Adamović, D.; Perše, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We give a coset realization of the vertex operator algebra M(1)⁺ with central charge ℓ.
  • Recent Developments in (0,2) Mirror Symmetry 
    Melnikov, I.; Sethi, S.; Sharpe, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Mirror symmetry of the type II string has a beautiful generalization to the heterotic string. This generalization, known as (0,2) mirror symmetry, is a field still largely in its infancy. We describe recent developments ...
  • Harmonic Oscillator SUSY Partners and Evolution Loops 
    Fernández, D.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Supersymmetric quantum mechanics is a powerful tool for generating exactly solvable potentials departing from a given initial one. If applied to the harmonic oscillator, a family of Hamiltonians ruled by polynomial Heisenberg ...
  • Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits 
    Visinescu, M.; Vîlcu, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The hidden symmetries of higher dimensional Kerr-NUT-(A)dS metrics are investigated. In certain scaling limits these metrics are related to the Einstein-Sasaki ones. The complete set of Killing-Yano tensors of the ...
  • On the Orthogonality of q-Classical Polynomials of the Hahn Class 
    Álvarez-Nodarse, R.; Adıgüzel, R.S.; Taşeli, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The central idea behind this review article is to discuss in a unified sense the orthogonality of all possible polynomial solutions of the q-hypergeometric difference equation on a q-linear lattice by means of a qualitative ...
  • Darboux Integrals for Schrödinger Planar Vector Fields via Darboux Transformations 
    Acosta-Humánez, P.B.; Pantazi, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this paper we study the Darboux transformations of planar vector fields of Schrödinger type. Using the isogaloisian property of Darboux transformation we prove the ''invariance'' of the objects of the ''Darboux theory ...
  • Commuting Differential Operators of Rank 3 Associated to a Curve of Genus 2 
    Zuo, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this paper, we construct some examples of commuting differential operators L₁ and L₂ with rational coefficients of rank 3 corresponding to a curve of genus 2.
  • High-Energy String Scattering Amplitudes and Signless Stirling Number Identity 
    Lee, J.; Yan, C.H.; Yang, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We give a complete proof of a set of identities (7) proposed recently from calculation of high-energy string scattering amplitudes. These identities allow one to extract ratios among high-energy string scattering amplitudes ...
  • Another New Solvable Many-Body Model of Goldfish Type 
    Calogero, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A new solvable many-body problem is identified. It is characterized by nonlinear Newtonian equations of motion (''acceleration equal force'') featuring one-body and two-body velocity-dependent forces ''of goldfish type'' ...
  • Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity 
    Diaz-Polo, J.; Pranzetti, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We review the black hole entropy calculation in the framework of Loop Quantum Gravity based on the quasi-local definition of a black hole encoded in the isolated horizon formalism. We show, by means of the covariant phase ...

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