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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:

  • Baker-Akhiezer Modules on Rational Varieties 
    Melnik, I.A.; Mironov, A.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The free Baker-Akhiezer modules on rational varieties obtained from CP¹×CPⁿ⁻¹ by identification of two hypersurfaces are constructed. The corollary of this construction is the existence of embedding of meromorphic function ...
  • Balanced Metrics and Noncommutative Kähler Geometry 
    Lukic, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In this paper we show how Einstein metrics are naturally described using the quantization of the algebra of functions C∞(M) on a Kähler manifold M. In this setup one interprets M as the phase space itself, equipped with ...
  • Bethe Ansatz, Inverse Scattering Transform and Tropical Riemann Theta Function in a Periodic Soliton Cellular Automaton for An⁽¹⁾ 
    Kuniba, A.; Takagi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We study an integrable vertex model with a periodic boundary condition associated with Uq(An⁽¹⁾ at the crystallizing point q=0. It is an (n+1)-state cellular automaton describing the factorized scattering of solitons. The ...
  • Bidifferential Calculus Approach to AKNS Hierarchies and Their Solutions 
    Dimakis, A.; Müller-Hoissen, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We express AKNS hierarchies, admitting reductions to matrix NLS and matrix mKdV hierarchies, in terms of a bidifferential graded algebra. Application of a universal result in this framework quickly generates an infinite ...
  • Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors 
    Nastase, H.; Papageorgakis, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We review our construction of a bifundamental version of the fuzzy 2-sphere and its relation to fuzzy Killing spinors, first obtained in the context of the ABJM membrane model. This is shown to be completely equivalent to ...
  • C-Integrability Test for Discrete Equations via Multiple Scale Expansions 
    Scimiterna, C.; Levi, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In this paper, we are extending the well-known integrability theorems obtained by multiple scale techniques to the case of linearizable difference equations. As an example, we apply the theory to the case of a differenti ...
  • Classical Particle in Presence of Magnetic Field, Hyperbolic Lobachevsky and Spherical Riemann Models 
    Kudryashov, V.V.; Kurochkin, Yu.A.; Ovsiyuk, E.M.; Red'kov, V.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Motion of a classical particle in 3-dimensional Lobachevsky and Riemann spaces is studied in the presence of an external magnetic field which is analogous to a constant uniform magnetic field in Euclidean space. In both ...
  • Cosmological Symmetry Breaking and Generation of Electromagnetic Field 
    Nagasawa, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Cosmological phase transitions accompanied by some kind of symmetry breaking would cause the creation of topological defects and the resulting production of primordial magnetic field. Moreover, such a procedure inevitably ...
  • Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems 
    Nakanishi, T.; Tateo, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We study the family of Y-systems and T-systems associated with the sine-Gordon models and the reduced sine-Gordon models for the parameter of continued fractions with two terms. We formulate these systems by cluster algebras, ...
  • 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 ...

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