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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:

  • 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, ...
  • 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 ...
  • Harmonic Oscillator SUSY Partners and Evolution Loops 
    Fernández, D.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Supersymmetric quantum mechanics is a powerful tool for generating exactly solvable potentials departing from a given initial one. If applied to the harmonic oscillator, a family of Hamiltonians ruled by polynomial Heisenberg ...
  • High-Energy String Scattering Amplitudes and Signless Stirling Number Identity 
    Lee, J.; Yan, C.H.; Yang, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We give a complete proof of a set of identities (7) proposed recently from calculation of high-energy string scattering amplitudes. These identities allow one to extract ratios among high-energy string scattering amplitudes ...
  • Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity 
    Diaz-Polo, J.; Pranzetti, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We review the black hole entropy calculation in the framework of Loop Quantum Gravity based on the quasi-local definition of a black hole encoded in the isolated horizon formalism. We show, by means of the covariant phase ...
  • 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 ...
  • Complex SUSY Transformations and the Painlevé IV Equation 
    Bermúdez, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this paper we will explicitly work out the complex first-order SUSY transformation for the harmonic oscillator in order to obtain both real and complex new exactly-solvable potentials. Furthermore, we will show that ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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. ...
  • 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 ...
  • 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 ...
  • Building Abelian Functions with Generalised Baker-Hirota Operators 
    England, M.; Athorne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We present a new systematic method to construct Abelian functions on Jacobian varieties of plane, algebraic curves. The main tool used is a symmetric generalisation of the bilinear operator defined in the work of Baker and ...
  • Superintegrable Extensions of Superintegrable Systems 
    Chanu, C.M.; Degiovanni, L.; Rastelli, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A procedure to extend a superintegrable system into a new superintegrable one is systematically tested for the known systems on E² and S² and for a family of systems defined on constant curvature manifolds. The procedure ...
  • 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 ...
  • 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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