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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Jordan-Schwinger Representations and Factorised Yang-Baxter Operators 
    Karakhanyan, D.; Kirschner, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The construction elements of the factorised form of the Yang-Baxter R operator acting on generic representations of q-deformed sl(n+1) are studied. We rely on the iterative construction of such representations by the ...
  • Junction Type Representations of the Temperley-Lieb Algebra and Associated Symmetries 
    Doikou, A.; Karaiskos, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Inspired by earlier works on representations of the Temperley-Lieb algebra we introduce a novel family of representations of the algebra. This may be seen as a generalization of the so called asymmetric twin representation. ...
  • Krein Spaces in de Sitter Quantum Theories 
    Gazeau, J.P.; Siegl, P.; Youssef, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Experimental evidences and theoretical motivations lead to consider the curved space-time relativity based on the de Sitter group SO0(1,4) or Sp(2,2) as an appealing substitute to the flat space-time Poincaré relativity. ...
  • Level Set Structure of an Integrable Cellular Automaton 
    Takagi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Based on a group theoretical setting a sort of discrete dynamical system is constructed and applied to a combinatorial dynamical system defined on the set of certain Bethe ansatz related objects known as the rigged ...
  • Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations 
    Nakpim, W.; Meleshko, S.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The linearization problem of a second-order ordinary differential equation by the generalized Sundman transformation was considered earlier by Duarte, Moreira and Santos using the Laguerre form. The results obtained in the ...
  • Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons 
    Bekaert, X.; Grigoriev, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The usual ambient space approach to conformal fields is based on identifying the d-dimensional conformal space as the Dirac projective hypercone in a flat d+2-dimensional ambient space. In this work, we explicitly concentrate ...
  • Measure Theory in Noncommutative Spaces 
    Lord, S.; Sukochev, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The integral in noncommutative geometry (NCG) involves a non-standard trace called a Dixmier trace. The geometric origins of this integral are well known. From a measure-theoretic view, however, the formulation contains ...
  • Modularity, Atomicity and States in Archimedean Lattice Effect Algebras 
    Paseka, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Effect algebras are a generalization of many structures which arise in quantum physics and in mathematical economics. We show that, in every modular Archimedean atomic lattice effect algebra E that is not an orthomodular ...
  • Modular Theory, Non-Commutative Geometry and Quantum Gravity 
    Bertozzini, P.; Conti, R.; Lewkeeratiyutkul, W, (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    This paper contains the first written exposition of some ideas (announced in a previous survey) on an approach to quantum gravity based on Tomita-Takesaki modular theory and A. Connes non-commutative geometry aiming at the ...
  • Monomial Crystals and Partition Crystals 
    Tingley, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Recently Fayers introduced a large family of combinatorial realizations of the fundamental crystal B(Λ₀) for sln, where the vertices are indexed by certain partitions. He showed that special cases of this construction agree ...
  • Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory 
    Gerdjikov, V.S.; Grahovski, G.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The algebraic structure and the spectral properties of a special class of multi-component NLS equations, related to the symmetric spaces of BD.I-type are analyzed. The focus of the study is on the spectral theory of the ...
  • Multi-Well Potentials in Quantum Mechanics and Stochastic Processes 
    Berezovoj, V.P.; Ivashkevych, G.I.; Konchatnij, M.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Using the formalism of extended N=4 supersymmetric quantum mechanics we consider the procedure of the construction of multi-well potentials. We demonstrate the form-invariance of Hamiltonians entering the supermultiplet, ...
  • Noncommutativity and Duality through the Symplectic Embedding Formalism 
    Everton M.C. Abreu; Albert C.R. Mendes; Oliveira, W. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    This work is devoted to review the gauge embedding of either commutative and noncommutative (NC) theories using the symplectic formalism framework. To sum up the main features of the method, during the process of embedding, ...
  • Non-Perturbative Asymptotic Improvement of Perturbation Theory and Mellin-Barnes Representation 
    Friot, S.; Greynat, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Using a method mixing Mellin-Barnes representation and Borel resummation we show how to obtain hyperasymptotic expansions from the (divergent) formal power series which follow from the perturbative evaluation of arbitrary ...
  • Notes on TQFT Wire Models and Coherence Equations for SU(3) Triangular Cells 
    Coquereaux, R.; Isasi, E.; Schieber, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    After a summary of the TQFT wire model formalism we bridge the gap from Kuperberg equations for SU(3) spiders to Ocneanu coherence equations for systems of triangular cells on fusion graphs that describe modules associated ...
  • On a Family of 2-Variable Orthogonal Krawtchouk Polynomials 
    Grünbaum, F.A.; Rahman, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We give a hypergeometric proof involving a family of 2-variable Krawtchouk polynomials that were obtained earlier by Hoare and Rahman [SIGMA 4 (2008), 089, 18 pages] as a limit of the 9−j symbols of quantum angular momentum ...
  • On a nonlocal Ostrovsky–Whitham type dynamical system, its Riemann type inhomogeneous regularizations and their integrability 
    Golenia, J.; Pavlov, M.V.; Popowicz, Z.; Prykarpatsky, A.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Short-wave perturbations in a relaxing medium, governed by a special reduction of the Ostrovsky evolution equation, and later derived by Whitham, are studied using the gradient-holonomic integrability algorithm. The ...
  • On Classical Dynamics of Affinely-Rigid Bodies Subject to the Kirchhoff-Love Constraints 
    Kovalchuk, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In this article we consider the affinely-rigid body moving in the three-dimensional physical space and subject to the Kirchhoff-Love constraints, i.e., while it deforms homogeneously in the two-dimensional central plane ...
  • One-Dimensional Vertex Models Associated with a Class of Yangian Invariant Haldane-Shastry Like Spin Chains 
    Basu-Mallick, B.; Bondyopadhaya, N.; Hikami, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We define a class of Y(sl(m|n)) Yangian invariant Haldane-Shastry (HS) like spin chains, by assuming that their partition functions can be written in a particular form in terms of the super Schur polynomials. Using some ...
  • One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative p⁻² U(1) Gauge Model 
    Blaschke, D.N.; Rofner, A.; Sedmik, R.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    This paper carries forward a series of articles describing our enterprise to construct a gauge equivalent for the θ-deformed non-commutative 1 p2 model originally introduced by Gurau et al. [Comm. Math. Phys. 287 (2009), ...

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