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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:

  • Emergent Braided Matter of Quantum Geometry 
    Bilson-Thompson, S.; Hackett, J.; Kauffman, L.; Wan, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We review and present a few new results of the program of emergent matter as braid excitations of quantum geometry that is represented by braided ribbon networks. These networks are a generalisation of the spin networks ...
  • Examples of Matrix Factorizations from SYZ 
    Cho, Cheol-Hyun; Hong, H.; Lee, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We find matrix factorization corresponding to an anti-diagonal in CP¹×CP¹, and circle fibers in weighted projective lines using the idea of Chan and Leung of Strominger-Yau-Zaslow transformations. For the tear drop orbifolds, ...
  • 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 ...
  • Discrete Integrable Equations over Finite Fields 
    Kanki, M.; Mada, J.; Tokihiro, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Discrete integrable equations over finite fields are investigated. The indeterminacy of the equation is resolved by treating it over a field of rational functions instead of the finite field itself. The main discussion ...
  • Colored Tensor Models - a Review 
    Gurau, R.; Ryan, J.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Colored tensor models have recently burst onto the scene as a promising conceptual and computational tool in the investigation of problems of random geometry in dimension three and higher. We present a snapshot of the ...
  • Spin Foams and Canonical Quantization 
    Alexandrov, S.; Geiller, M.; Noui, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    This review is devoted to the analysis of the mutual consistency of the spin foam and canonical loop quantizations in three and four spacetime dimensions. In the three-dimensional context, where the two approaches are in ...
  • 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 ...
  • 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.
  • Intersecting Quantum Gravity with Noncommutative Geometry - a Review 
    Aastrup, J.; Grimstrup, J.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We review applications of noncommutative geometry in canonical quantum gravity. First, we show that the framework of loop quantum gravity includes natural noncommutative structures which have, hitherto, not been explored. ...
  • Tippe Top Equations and Equations for the Related Mechanical Systems 
    Rutstam, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The equations of motion for the rolling and gliding Tippe Top (TT) are nonintegrable and difficult to analyze. The only existing arguments about TT inversion are based on analysis of stability of asymptotic solutions and ...
  • 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 ...
  • 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 ...
  • 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 ...
  • Structure Theory for Extended Kepler-Coulomb 3D Classical Superintegrable Systems 
    Kalnins, E.G.; Miller Jr., W. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The classical Kepler-Coulomb system in 3 dimensions is well known to be 2nd order superintegrable, with a symmetry algebra that closes polynomially under Poisson brackets. This polynomial closure is typical for 2nd order ...
  • 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 ...
  • 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 ...
  • 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; ...
  • 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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