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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:

  • Solitary Waves in Massive Nonlinear SN-Sigma Models 
    Izquierdo, A.A.; González León, M.A.; de la Torre Mayado, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The solitary waves of massive (1+1)-dimensional nonlinear SN-sigma models are unveiled. It is shown that the solitary waves in these systems are in one-to-one correspondence with the separatrix trajectories in the repulsive ...
  • Spectral Distances: Results for Moyal Plane and Noncommutative Torus 
    Cagnache, E.; Wallet, J.C. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The spectral distance for noncommutative Moyal planes is considered in the framework of a non compact spectral triple recently proposed as a possible noncommutative analog of non compact Riemannian spin manifold. An explicit ...
  • Strong Field, Noncommutative QED 
    Ilderton, A.; Lundin, J.; Marklund, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We review the effects of strong background fields in noncommutative QED. Beginning with the noncommutative Maxwell and Dirac equations, we describe how combined noncommutative and strong field effects modify the propagation ...
  • Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics 
    Ioffe, M.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Two different approaches are formulated to analyze two-dimensional quantum models which are not amenable to standard separation of variables. Both methods are essentially based on supersymmetrical second order intertwining ...
  • Supersymmetric Extension of Non-Hermitian su(2) Hamiltonian and Supercoherent States 
    Cherbal, O.; Drir, M.; Maamache, M.; Trifonov, D.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    A new class of non-Hermitian Hamiltonians with real spectrum, which are written as a real linear combination of su(2) generators in the form H=ωJ₃+αJ₋+βJ₊, α≠β, is analyzed. The metrics which allows the transition to the ...
  • Supersymmetry of Affine Toda Models as Fermionic Symmetry Flows of the Extended mKdV Hierarchy 
    Schmidtt, D.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We couple two copies of the supersymmetric mKdV hierarchy by means of the algebraic dressing technique. This allows to deduce the whole set of (N,N) supersymmetry transformations of the relativistic sector of the extended ...
  • The Integrability of New Two-Component KdV Equation 
    Popowicz, Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We consider the bi-Hamiltonian representation of the two-component coupled KdV equations discovered by Drinfel'd and Sokolov and rediscovered by Sakovich and Foursov. Connection of this equation with the supersymmetric ...
  • The Lax Integrable Differential-Difference Dynamical Systems on Extended Phase Spaces 
    Hentosh, O.Ye. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The Hamiltonian representation for the hierarchy of Lax-type flows on a dual space to the Lie algebra of shift operators coupled with suitable eigenfunctions and adjoint eigenfunctions evolutions of associated spectral ...
  • The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CPⁿ 
    Sämann, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We perform a high-temperature expansion of scalar quantum field theory on fuzzy CPⁿ to third order in the inverse temperature. Using group theoretical methods, we rewrite the result as a multitrace matrix model. The partition ...
  • The Noncommutative Doplicher-Fredenhagen-Roberts-Amorim Space 
    Everton M.C. Abreu; Albert C.R. Mendes; Oliveira, W.; Zangirolami, A.O. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    This work is an effort in order to compose a pedestrian review of the recently elaborated Doplicher, Fredenhagen, Roberts and Amorim (DFRA) noncommutative (NC) space which is a minimal extension of the DFR space. In this ...
  • The Noncommutative Ward Metric 
    Lechtenfeld, O.; Maceda, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We analyze the moduli-space metric in the static non-Abelian charge-two sector of the Moyal-deformed CP1 sigma model in 1+2 dimensions. After carefully reviewing the commutative results of Ward and Ruback, the noncommutative ...
  • The Scattering Problem for a Noncommutative Nonlinear Schrödinger Equation 
    Durhuus, B.; Gayral, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We investigate scattering properties of a Moyal deformed version of the nonlinear Schrödinger equation in an even number of space dimensions. With rather weak conditions on the degree of nonlinearity, the Cauchy problem ...
  • Tools for Verifying Classical and Quantum Superintegrability 
    Kalnins, E.G.; Kress, J.M.; Willard Miller, Jr. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Recently many new classes of integrable systems in n dimensions occurring in classical and quantum mechanics have been shown to admit a functionally independent set of 2n−1 symmetries polynomial in the canonical momenta, ...
  • Translation-Invariant Noncommutative Renormalization 
    Tanasa, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We review here the construction of a translation-invariant scalar model which was proved to be perturbatively renormalizable on Moyal space. Some general considerations on nonlocal renormalizability are given. Finally, we ...
  • Twist Quantization of String and Hopf Algebraic Symmetry 
    Asakawa, T.; Watamura, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We describe the twist quantization of string worldsheet theory, which unifies the description of quantization and the target space symmetry, based on the twisting of Hopf and module algebras. We formulate a method of ...
  • Universal Bethe Ansatz and Scalar Products of Bethe Vectors 
    Belliard, S.; Pakuliak, S.; Ragoucy, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    An integral presentation for the scalar products of nested Bethe vectors for the quantum integrable models associated with the quantum affine algebra Uq(gl₃) is given. This result is obtained in the framework of the universal ...
  • Universal Low Temperature Asymptotics of the Correlation Functions of the Heisenberg Chain 
    Crampé, N.; Göhmann, F.; Klümper, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We calculate the low temperature asymptotics of a function γ that generates the temperature dependence of all static correlation functions of the isotropic Heisenberg chain.
  • Yang-Baxter Maps from the Discrete BKP Equation 
    Kakei, S.; Nimmo, J; Willox, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We construct rational and piecewise-linear Yang–Baxter maps for a general N-reduction of the discrete BKP equation.
  • Zero Action on Perfect Crystals for Uq(G₂⁽¹⁾) 
    Misra, K.C.; Mohamad, M.; Okado, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The actions of 0-Kashiwara operators on the Uq'(GG₂⁽¹⁾)-crystal Bl in [Yamane S., J. Algebra 210 (1998), 440-486] are made explicit by using a similarity technique from that of a Uq'(D₄⁽³⁾)-crystal. It is shown that {Bl}l ...
  • κ-Minkowski Spacetimes and DSR Algebras: Fresh Look and Old Problems 
    Borowiec, A.; Pachol, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Some classes of Deformed Special Relativity (DSR) theories are reconsidered within the Hopf algebraic formulation. For this purpose we shall explore a minimal framework of deformed Weyl-Heisenberg algebras provided by a ...

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