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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • 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 ...
  • Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type 
    Desrosiers, P.; Hallnäs, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We introduce and study natural generalisations of the Hermite and Laguerre polynomials in the ring of symmetric functions as eigenfunctions of infinite-dimensional analogues of partial differential operators of ...
  • Formal Integrability for the Nonautonomous Case of the Inverse Problem of the Calculus of Variations 
    Constantinescu, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We address the integrability conditions of the inverse problem of the calculus of variations for time-dependent SODE using the Spencer version of the Cartan-Kähler theorem. We consider a linear partial differential operator ...
  • 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 ...
  • Discretisations, Constraints and Diffeomorphisms in Quantum Gravity 
    Bahr, B.; Gambini, R.; Pullin, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this review we discuss the interplay between discretization, constraint implementation, and diffeomorphism symmetry in Loop Quantum Gravity and Spin Foam models. To this end we review the Consistent Discretizations ...
  • Entropy of Quantum Black Holes 
    Kaul, R.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In the Loop Quantum Gravity, black holes (or even more general Isolated Horizons) are described by a SU(2) Chern-Simons theory. There is an equivalent formulation of the horizon degrees of freedom in terms of a U(1) gauge ...
  • 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].
  • Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems 
    Miki, H.; Goda, H.; Tsujimoto, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Discrete spectral transformations of skew orthogonal polynomials are presented. From these spectral transformations, it is shown that the corresponding discrete integrable systems are derived both in 1+1 dimension and in ...
  • 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 ...
  • 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 ...
  • Deformation Quantization by Moyal Star-Product and Stratonovich Chaos 
    Léandre, R.; Obame Nguema, Maurice (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We make a deformation quantization by Moyal star-product on a space of functions endowed with the normalized Wick product and where Stratonovich chaos are well defined.
  • Holomorphic Quantization of Linear Field Theory in the General Boundary Formulation 
    Oeckl, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We present a rigorous quantization scheme that yields a quantum field theory in general boundary form starting from a linear field theory. Following a geometric quantization approach in the Kähler case, state spaces arise ...
  • 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 ...
  • A Two-Component Generalization of the Integrable rdDym Equation 
    Morozov, O.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We find a two-component generalization of the integrable case of rdDym equation. The reductions of this system include the general rdDym equation, the Boyer-Finley equation, and the deformed Boyer-Finley equation. Also we ...
  • Classification of Non-Affine Non-Hecke Dynamical R-Matrices 
    Avan, J.; Billaud, B.; Rollet, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A complete classification of non-affine dynamical quantum R-matrices obeying the Gln(C)-Gervais-Neveu-Felder equation is obtained without assuming either Hecke or weak Hecke conditions. More general dynamical dependences ...
  • Relational Observables in Gravity: a Review 
    Tambornino, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We present an overview on relational observables in gravity mainly from a loop quantum gravity perspective. The gauge group of general relativity is the diffeomorphism group of the underlying manifold. Consequently, general ...
  • Exponential Formulas and Lie Algebra Type Star Products 
    Meljanac, S.; Škoda, Z.; Svrtan, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Given formal differential operators Fi on polynomial algebra in several variables x₁,…,xn, we discuss finding expressions Kl determined by the equation exp(∑ixiFi)(exp(∑jqjxj))=exp(∑lKlxl) and their applications. The ...
  • Bring's Curve: its Period Matrix and the Vector of Riemann Constants 
    Braden, H.W.; Northover, T.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Bring's curve is the genus 4 Riemann surface with automorphism group of maximal size, S₅. Riera and Rodríguez have provided the most detailed study of the curve thus far via a hyperbolic model. We will recover and extend ...
  • Supersymmetric Proof of the Hirzebruch-Riemann-Roch Theorem for Non-Kähler Manifolds 
    Smilga, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We present the proof of the HRR theorem for a generic complex compact manifold by evaluating the functional integral for the Witten index of the appropriate supersymmetric quantum mechanical system.

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