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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • Introduction to Loop Quantum Cosmology 
    Banerjee, K.; Calcagni, G.; Martín-Benito, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    This is an introduction to loop quantum cosmology (LQC) reviewing mini- and midisuperspace models as well as homogeneous and inhomogeneous effective dynamics.
  • 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 ...
  • Conformally Equivariant Quantization - a Complete Classification 
    Michel, Jean-Philippe (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Conformally equivariant quantization is a peculiar map between symbols of real weight δ and differential operators acting on tensor densities, whose real weights are designed by λ and λ+δ. The existence and uniqueness of ...
  • 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 ...
  • Deformed su(1,1) Algebra as a Model for Quantum Oscillators 
    Jafarov, E.I.; Stoilova, N.I.; Van der Jeugt, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The Lie algebra su(1,1) can be deformed by a reflection operator, in such a way that the positive discrete series representations of su(1,1) can be extended to representations of this deformed algebra su(1,1)γ. Just as the ...
  • Emergent Models for Gravity: an Overview of Microscopic Models 
    Sindoni, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We give a critical overview of various attempts to describe gravity as an emergent phenomenon, starting from examples of condensed matter physics, to arrive to more sophisticated pregeometric models. The common line of ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • A Top-Down Account of Linear Canonical Transforms 
    Wolf, K.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We contend that what are called Linear Canonical Transforms (LCTs) should be seen as a part of the theory of unitary irreducible representations of the '2+1' Lorentz group. The integral kernel representation found by ...
  • Geometry of Spectral Curves and All Order Dispersive Integrable System 
    Borot, G.; Eynard, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We propose a definition for a Tau function and a spinor kernel (closely related to Baker-Akhiezer functions), where times parametrize slow (of order 1/N) deformations of an algebraic plane curve. This definition consists ...
  • 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, ...
  • Classification of Traces and Associated Determinants on Odd-Class Operators in Odd Dimensions 
    Neira Jimenez, Carolina; Ouedraogo, Marie-Françoise (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    To supplement the already known classification of traces on classical pseudodifferential operators, we present a classification of traces on the algebras of odd-class pseudodifferential operators of non-positive order ...
  • 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; ...
  • 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 ...
  • 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 ...

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