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

Репозиторій DSpace/Manakin

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

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  • KZ Characteristic Variety as the Zero Set of Classical Calogero-Moser Hamiltonians 
    Mukhin, E.; Tarasov, T.; Varchenko, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We discuss a relation between the characteristic variety of the KZ equations and the zero set of the classical Calogero-Moser Hamiltonians.
  • Ladder Operators for Lamé Spheroconal Harmonic Polynomials 
    Méndez-Fragoso, R.; Ley-Koo, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Three sets of ladder operators in spheroconal coordinates and their respective actions on Lamé spheroconal harmonic polynomials are presented in this article. The polynomials are common eigenfunctions of the square of the ...
  • Ladder Operators for Quantum Systems Confined by Dihedral Angles 
    Ley-Koo, E.; Sun, G.-H. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We report the identification and construction of raising and lowering operators for the complete eigenfunctions of isotropic harmonic oscillators confined by dihedral angles, in circular cylindrical and spherical coordinates; ...
  • Lagrange Anchor and Characteristic Symmetries of Free Massless Fields 
    Kaparulin, D.S.; Lyakhovich, S.L.; Sharapov, A.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A Poincaré covariant Lagrange anchor is found for the non-Lagrangian relativistic wave equations of Bargmann and Wigner describing free massless fields of spin s>1/2 in four-dimensional Minkowski space. By making use of ...
  • Learning about Quantum Gravity with a Couple of Nodes 
    Borja, E.F.; Garay, I.; Vidotto, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Loop Quantum Gravity provides a natural truncation of the infinite degrees of freedom of gravity, obtained by studying the theory on a given finite graph. We review this procedure and we present the construction of the ...
  • Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity 
    Bonzom, V.; Laddha, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We review some approaches to the Hamiltonian dynamics of (loop) quantum gravity, the main issues being the regularization of the Hamiltonian and the continuum limit. First, Thiemann's definition of the quantum Hamiltonian ...
  • Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics 
    Girelli, F.; Hinterleitner, F.; Major, S.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Research during the last decade demonstrates that effects originating on the Planck scale are currently being tested in multiple observational contexts. In this review we discuss quantum gravity phenomenological models and ...
  • Loop Quantum Gravity Vacuum with Nondegenerate Geometry 
    Koslowski, T.; Sahlmann, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In loop quantum gravity, states of the gravitational field turn out to be excitations over a vacuum state that is sharply peaked on a degenerate spatial geometry. While this vacuum is singled out as fundamental due to its ...
  • 'Magic' Configurations of Three-Qubit Observables and Geometric Hyperplanes of the Smallest Split Cayley Hexagon 
    Saniga, M.; Planat, M.; Pracna, P.; Lévay, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Recently Waegell and Aravind [J. Phys. A: Math. Theor. 45 (2012), 405301, 13 pages] have given a number of distinct sets of three-qubit observables, each furnishing a proof of the Kochen-Specker theorem. Here it is ...
  • Matter in Loop Quantum Gravity 
    Date, G.; Hossain, G.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Loop quantum gravity, a non-perturbative and manifestly background free, quantum theory of gravity implies that at the kinematical level the spatial geometry is discrete in a specific sense. The spirit of background ...
  • Minkowski Polynomials and Mutations 
    Akhtar, M.; Coates, T.; Galkin, S.; Kasprzyk, A.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Given a Laurent polynomial f, one can form the period of f: this is a function of one complex variable that plays an important role in mirror symmetry for Fano manifolds. Mutations are a particular class of birational ...
  • Monodromy of an Inhomogeneous Picard-Fuchs Equation 
    Laporte, G.; Walcher, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The global behaviour of the normal function associated with van Geemen's family of lines on the mirror quintic is studied. Based on the associated inhomogeneous Picard-Fuchs equation, the series expansions around large ...
  • Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy 
    Musso, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The equation of a motion of curves in the projective plane is deduced. Local flows are defined in terms of polynomial differential functions. A family of local flows inducing the Kaup-Kupershmidt hierarchy is constructed. ...
  • 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 ...
  • Nekrasov's Partition Function and Refined Donaldson-Thomas Theory: the Rank One Case 
    Szendrői, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    This paper studies geometric engineering, in the simplest possible case of rank one (Abelian) gauge theory on the affine plane and the resolved conifold. We recall the identification between Nekrasov's partition function ...
  • New Variables of Separation for the Steklov-Lyapunov System 
    Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A rigid body in an ideal fluid is an important example of Hamiltonian systems on a dual to the semidirect product Lie algebra e(3)=so(3)⋉R³. We present the bi-Hamiltonian structure and the corresponding variables of ...
  • Nonlocal Symmetries, Telescopic Vector Fields and λ-Symmetries of Ordinary Differential Equations 
    Muriel, C.; Romero, J.L. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    This paper studies relationships between the order reductions of ordinary differential equations derived by the existence of λ-symmetries, telescopic vector fields and some nonlocal symmetries obtained by embedding the ...
  • Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras 
    Nakanishi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Recently Cherednik and Feigin [arXiv:1209.1978] obtained several Rogers-Ramanujan type identities via the nilpotent double affine Hecke algebras (Nil-DAHA). These identities further led to a series of dilogarithm identities, ...
  • Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras 
    Nakanishi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Recently Cherednik and Feigin [arXiv:1209.1978] obtained several Rogers-Ramanujan type identities via the nilpotent double affine Hecke algebras (Nil-DAHA). These identities further led to a series of dilogarithm identities, ...
  • Novel Enlarged Shape Invariance Property and Exactly Solvable Rational Extensions of the Rosen-Morse II and Eckart Potentials 
    Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The existence of a novel enlarged shape invariance property valid for some rational extensions of shape-invariant conventional potentials, first pointed out in the case of the Morse potential, is confirmed by deriving all ...

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