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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік за назвою

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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Parameterizing the Simplest Grassmann-Gaussian Relations for Pachner Move 3-3 
    Korepanov, I.G.; Sadykov, N.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We consider relations in Grassmann algebra corresponding to the four-dimensional Pachner move 3-3, assuming that there is just one Grassmann variable on each 3-face, and a 4-simplex weight is a Grassmann-Gaussian exponent ...
  • Partner Symmetries, Group Foliation and ASD Ricci-Flat Metrics without Killing Vectors 
    Sheftel, M.B.; Malykh, A.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We demonstrate how a combination of our recently developed methods of partner symmetries, symmetry reduction in group parameters and a new version of the group foliation method can produce noninvariant solutions of complex ...
  • Pentagon Relations in Direct Sums and Grassmann Algebras 
    Korepanov, I.G.; Sadykov, N.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We construct vast families of orthogonal operators obeying pentagon relation in a direct sum of three n-dimensional vector spaces. As a consequence, we obtain pentagon relations in Grassmann algebras, making a far reaching ...
  • Period Matrices of Real Riemann Surfaces and Fundamental Domains 
    Giavedoni, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    For some positive integers g and n we consider a subgroup Gg,n of the 2g-dimensional modular group keeping invariant a certain locus Wg,n in the Siegel upper half plane of degree g. We address the problem of describing a ...
  • Quasicomplex N=2, d=1 Supersymmetric Sigma Models 
    Ivanov, E.A.; Smilga, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We derive and discuss a new type of N=2 supersymmetric quantum mechanical sigma models which appear when the superfield action of the (1,2,1) multiplets is modified by adding an imaginary antisymmetric tensor to the target ...
  • Relative Critical Points 
    Lewis, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Relative equilibria of Lagrangian and Hamiltonian systems with symmetry are critical points of appropriate scalar functions parametrized by the Lie algebra (or its dual) of the symmetry group. Setting aside the structures ...
  • Representation Theory of Quantized Enveloping Algebras with Interpolating Real Structure 
    de Commer, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Let g be a compact simple Lie algebra. We modify the quantized enveloping ∗-algebra associated to g by a real-valued character on the positive part of the root lattice. We study the ensuing Verma module theory, and the ...
  • Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics 
    Dasgupta, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In this article we explore the origin of black hole thermodynamics using semiclassical states in loop quantum gravity. We re-examine the case of entropy using a density matrix for a coherent state and describe correlations ...
  • Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces 
    Bihun, O.; Calogero, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    The class of solvable many-body problems ''of goldfish type'' is extended by including (the additional presence of) three-body forces. The solvable N-body problems thereby identified are characterized by Newtonian equations ...
  • Solving Local Equivalence Problems with the Equivariant Moving Frame Method 
    Valiquette, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Given a Lie pseudo-group action, an equivariant moving frame exists in the neighborhood of a submanifold jet provided the action is free and regular. For local equivalence problems the freeness requirement cannot always ...
  • Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1) 
    Faustino, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Based on the representation of a set of canonical operators on the lattice hZn, which are Clifford-vector-valued, we will introduce new families of special functions of hypercomplex variable possessing su(1,1) symmetries.
  • Specialized Orthonormal Frames and Embedding 
    Estabrook, F.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We discuss some specializations of the frames of flat orthonormal frame bundles over geometries of indefinite signature, and the resulting symmetries of families of embedded Riemannian or pseudo-Riemannian geometries. The ...
  • spo(2|2)-Equivariant Quantizations on the Supercircle S¹|² 
    Mellouli, N.; Nibirantiza, A.; Radoux, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We consider the space of differential operators Dλμ acting between λ- and μ-densities defined on S¹|² endowed with its standard contact structure. This contact structure allows one to define a filtration on Dλμ which is ...
  • Symmetry and Intertwining Operators for the Nonlocal Gross-Pitaevskii Equation 
    Lisok, A.L.; Shapovalov, A.V.; Trifonov, A.Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We consider the symmetry properties of an integro-differential multidimensional Gross-Pitaevskii equation with a nonlocal nonlinear (cubic) term in the context of symmetry analysis using the formalism of semiclassical ...
  • The Algebra of a q-Analogue of Multiple Harmonic Series 
    Takeyama, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We introduce an algebra which describes the multiplication structure of a family of q-series containing a q-analogue of multiple zeta values. The double shuffle relations are formulated in our framework. They contain a ...
  • The Cauchy Problem for Darboux Integrable Systems and Non-Linear d'Alembert Formulas 
    Anderson, I.M.; Fels, M.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    To every Darboux integrable system there is an associated Lie group G which is a fundamental invariant of the system and which we call the Vessiot group. This article shows that solving the Cauchy problem for a Darboux ...
  • The Clifford Deformation of the Hermite Semigroup 
    De Bie, H.; Ørsted, B.; Somberg, P.; Souček, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    This paper is a continuation of the paper [De Bie H., Ørsted B., Somberg P., Souček V., Trans. Amer. Math. Soc. 364 (2012), 3875–3902], investigating a natural radial deformation of the Fourier transform in the setting of ...
  • The Construction of Spin Foam Vertex Amplitudes 
    Bianchi, E.; Hellmann, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Spin foam vertex amplitudes are the key ingredient of spin foam models for quantum gravity. These fall into the realm of discretized path integral, and can be seen as generalized lattice gauge theories. They can be seen ...
  • The Infinitesimalization and Reconstruction of Locally Homogeneous Manifolds 
    Blaom, A.D. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A linear connection on a Lie algebroid is called a Cartan connection if it is suitably compatible with the Lie algebroid structure. Here we show that a smooth connected manifold M is locally homogeneous – i.e., admits an ...
  • The Pascal Triangle of a Discrete Image: Definition, Properties and Application to Shape Analysis 
    Boutin, M.; Huang, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We define the Pascal triangle of a discrete (gray scale) image as a pyramidal arrangement of complex-valued moments and we explore its geometric significance. In particular, we show that the entries of row k of this triangle ...

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