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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:

  • Discrete Minimal Surface Algebras 
    Arnlind, J.; Hoppe, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We consider discrete minimal surface algebras (DMSA) as generalized noncommutative analogues of minimal surfaces in higher dimensional spheres. These algebras appear naturally in membrane theory, where sequences of their ...
  • Double Affine Hecke Algebras of Rank 1 and the Z₃-Symmetric Askey-Wilson Relations 
    Ito, T.; Terwilliger, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We consider the double affine Hecke algebra H=H(k₀,k₁,k₀v,k₁v;q) associated with the root system (C₁v,C₁). We display three elements x, y, z in H that satisfy essentially the Z₃-symmetric Askey-Wilson relations. We obtain ...
  • Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring 
    Wehefritz-Kaufmann, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We present a study of the two species totally asymmetric diffusion model using the Bethe ansatz. The Hamiltonian has Uq(SU(3)) symmetry. We derive the nested Bethe ansatz equations and obtain the dynamical critical exponent ...
  • Emergent Abelian Gauge Fields from Noncommutative Gravity 
    Stern, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We construct exact solutions to noncommutative gravity following the formulation of Chamseddine and show that they are in general accompanied by Abelian gauge fields which are first order in the noncommutative scale. This ...
  • Epsilon Systems on Geometric Crystals of Type An 
    Nakashima, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We introduce an epsilon system on a geometric crystal of type An, which is a certain set of rational functions with some nice properties. We shall show that it is equipped with a product structure and that it is invariant ...
  • Erlangen Program at Large-1: Geometry of Invariants 
    Kisil, V.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    This paper presents geometrical foundation for a systematic treatment of three main (elliptic, parabolic and hyperbolic) types of analytic function theories based on the representation theory of SL₂(R) group. We describe ...
  • Exotic Galilean Symmetry and Non-Commutative Mechanics 
    Horváthy, P.A.; Martina, L.; Stichel, P.C. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Some aspects of the ''exotic'' particle, associated with the two-parameter central extension of the planar Galilei group are reviewed. A fundamental property is that it has non-commuting position coordinates. Other and ...
  • Field Theory on Curved Noncommutative Spacetimes 
    Schenkel, A.; Uhlemann, C.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We study classical scalar field theories on noncommutative curved spacetimes. Following the approach of Wess et al. [Classical Quantum Gravity 22 (2005), 3511 and Classical Quantum Gravity 23 (2006), 1883], we describe ...
  • Finite Unification: Theory and Predictions 
    Heinemeyer, S.; Mondragón, M.; Zoupanos, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    All-loop Finite Unified Theories (FUTs) are very interesting N=1 supersymmetric Grand Unified Theories (GUTs) which not only realise an old field theoretic dream but also have a remarkable predictive power due to the ...
  • Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability 
    Mazharimousavi, H.; Mustafa, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The kinetic energy operator with position-dependent-mass in plane polar coordinates is obtained. The separability of the corresponding Schr¨odinger equation is discussed. A hypothetical toy model is reported and two exactly ...
  • From Noncommutative Sphere to Nonrelativistic Spin 
    Deriglazov, A.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Reparametrization invariant dynamics on a sphere, being parameterized by angular momentum coordinates, represents an example of noncommutative theory. It can be quantized according to Berezin-Marinov prescription, replacing ...
  • Gauge Theories on Deformed Spaces 
    Blaschke, D.N.; Kronberger, E.; René I.P. Sedmik; Wohlgenannt, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The aim of this review is to present an overview over available models and approaches to non-commutative gauge theory. Our main focus thereby is on gauge models formulated on flat Groenewold-Moyal spaces and renormalizability, ...
  • Geodesic Reduction via Frame Bundle Geometry 
    Bhand, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    A manifold with an arbitrary affine connection is considered and the geodesic spray associated with the connection is studied in the presence of a Lie group action. In particular, results are obtained that provide insight ...
  • Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry 
    Franco, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Connes' noncommutative Riemannian distance formula is constructed in two steps, the first one being the construction of a path-independent geometrical functional using a global constraint on continuous functions. This paper ...
  • Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions 
    Chatzistavrakidis, A.; Zoupanos, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Theories defined in higher than four dimensions have been used in various frameworks and have a long and interesting history. Here we review certain attempts, developed over the last years, towards the construction of ...
  • Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves 
    England, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We develop the theory of Abelian functions associated with cyclic trigonal curves by considering two new cases. We investigate curves of genus six and seven and consider whether it is the trigonal nature or the genus which ...
  • Hopf Maps, Lowest Landau Level, and Fuzzy Spheres 
    Hasebe, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    This paper is a review of monopoles, lowest Landau level, fuzzy spheres, and their mutual relations. The Hopf maps of division algebras provide a prototype relation between monopoles and fuzzy spheres. Generalization of ...
  • Horizontal Forms of Chern Type on Complex Finsler Bundles 
    Ida, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The aim of this paper is to construct horizontal Chern forms of a holomorphic vector bundle using complex Finsler structures. Also, some properties of these forms are studied.
  • Hypergeometric τ Functions of the q-Painlevé Systems of Type (A₂+A₁)⁽¹⁾ 
    Nakazono, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We consider a q-Painlevé III equation and a q-Painlevé II equation arising from a birational representation of the affine Weyl group of type (A₂+A₁)⁽¹⁾. We study their hypergeometric solutions on the level of τ functions.
  • Integral calculus on Eq(2) 
    Brzeziński, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The complexes of integral forms on the quantum Euclidean group Eq(2) and the quantum plane are defined and their isomorphisms with the corresponding de Rham complexes are established.

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