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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

Сортувати за: Порядок: Результатів:

  • 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 ...
  • Novel Possibility of Nonstandard Statistics in the Inflationary Spectrum of Primordial Inhomogeneities 
    León, G.; Sudarsky, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Inflation is considered one of the cornerstones of modern cosmology. However, the account of the origin of cosmic structure, as provided by the standard inflationary paradigm, is not fully satisfactory. The fundamental ...
  • Numerical Techniques in Loop Quantum Cosmology 
    Brizuela, D.; Cartin, D.; Khanna, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this article, we review the use of numerical techniques to obtain solutions for the quantum Hamiltonian constraint in loop quantum cosmology (LQC). First, we summarize the basic features of LQC, and describe features ...
  • Old and New Reductions of Dispersionless Toda Hierarchy 
    Takasaki, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    This paper is focused on geometric aspects of two particular types of finite-variable reductions in the dispersionless Toda hierarchy. The reductions are formulated in terms of ''Landau-Ginzburg potentials'' that play the ...
  • On Affine Fusion and the Phase Model 
    Walton, M.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A brief review is given of the integrable realization of affine fusion discovered recently by Korff and Stroppel. They showed that the affine fusion of the su(n) Wess-Zumino-Novikov-Witten (WZNW) conformal field theories ...
  • On a Lie Algebraic Characterization of Vector Bundles 
    B.A. Lecomte, P.; Leuther, T.; Mushengezi, E.Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We prove that a vector bundle π: E→M is characterized by the Lie algebra generated by all differential operators on E which are eigenvectors of the Lie derivative in the direction of the Euler vector field. Our result is ...
  • 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 ...
  • On Lie Algebroids and Poisson Algebras 
    García-Beltrán, D.; Vallejo, J.A.; Vorobjev, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We introduce and study a class of Lie algebroids associated to faithful modules which is motivated by the notion of cotangent Lie algebroids of Poisson manifolds. We also give a classification of transitive Lie algebroids ...
  • On the Dimension of the Group of Projective Transformations of Closed Randers and Riemannian Manifolds 
    Matveev, V.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We construct a counterexample to Theorem 2 of [Rafie-Rad M., Rezaei B., SIGMA 7 (2011), 085, 12 pages].
  • On the Number of Real Roots of the Yablonskii-Vorob'ev Polynomials 
    Roffelsen, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We study the real roots of the Yablonskii-Vorob'ev polynomials, which are special polynomials used to represent rational solutions of the second Painlevé equation. It has been conjectured that the number of real roots of ...
  • 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 ...
  • On the Relations between Gravity and BF Theories 
    Freidel, L.; Speziale, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We review, in the light of recent developments, the existing relations between gravity and topological BF theories at the classical level. We include the Plebanski action in both self-dual and non-chiral formulations, their ...
  • Orbit Representations from Linear mod 1 Transformations 
    Correia Ramos, C.; Martins, N.; Pinto, P.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We show that every point x0∈[0,1] carries a representation of a C∗-algebra that encodes the orbit structure of the linear mod 1 interval map fβ,α(x)=βx+α. Such C∗-algebra is generated by partial isometries arising from the ...
  • Orthogonal Basic Hypergeometric Laurent Polynomials 
    Mourad E.H. Ismail; Stanton, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The Askey-Wilson polynomials are orthogonal polynomials in x=cosθ, which are given as a terminating ₄∅₃ basic hypergeometric series. The non-symmetric Askey-Wilson polynomials are Laurent polynomials in z=eiθ, which are ...
  • 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 ...

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