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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

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  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • Entanglement Properties of a Higher-Integer-Spin AKLT Model with Quantum Group Symmetry 
    Arita, C.; Motegi, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We study the entanglement properties of a higher-integer-spin Affleck-Kennedy-Lieb-Tasaki model with quantum group symmetry in the periodic boundary condition. We exactly calculate the finite size correction terms of the ...
  • 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 ...
  • 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, ...
  • 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 ...
  • 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 ...
  • Frobenius 3-Folds via Singular Flat 3-Webs 
    Agafonov, S.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We give a geometric interpretation of weighted homogeneous solutions to the associativity equation in terms of the web theory and construct a massive Frobenius 3-fold germ via a singular 3-web germ satisfying the following ...
  • Geometric Theory of the Recursion Operators for the Generalized Zakharov-Shabat System in Pole Gauge on the Algebra sl(n,C) with and without Reductions 
    Yanovski, A.B.; Vilasi, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We consider the recursion operator approach to the soliton equations related to the generalized Zakharov-Shabat system on the algebra sl(n,C) in pole gauge both in the general position and in the presence of reductions. ...
  • 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 ...
  • Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity 
    Sasaki, R.; Takemura, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Infinitely many explicit solutions of certain second-order differential equations with an apparent singularity of characteristic exponent −2 are constructed by adjusting the parameter of the multi-indexed Laguerre polynomials.
  • 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 ...
  • Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non-Trivial Bundles 
    Levin, A.M.; Olshanetsky, M.A.; Smirnov, A.V.; Zotov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We describe new families of the Knizhnik-Zamolodchikov-Bernard (KZB) equations related to the WZW-theory corresponding to the adjoint G-bundles of different topological types over complex curves Σg,n of genus g with n ...
  • 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 ...
  • Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits 
    Visinescu, M.; Vîlcu, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The hidden symmetries of higher dimensional Kerr-NUT-(A)dS metrics are investigated. In certain scaling limits these metrics are related to the Einstein-Sasaki ones. The complete set of Killing-Yano tensors of the ...
  • 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 ...
  • 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 ...

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