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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:

  • q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra Uq(u(n,1)) 
    Asherova, R.M.; Burdík, Č.; Havlíček, M.; Smirnov, Y.F.; Tolstoy, V.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    For the quantum algebra Uq(gl(n+1)) in its reduction on the subalgebra Uq(gl(n)) an explicit description of a Mickelsson-Zhelobenko reduction Z-algebra Zq(gl(n+1),gl(n)) is given in terms of the generators and their defining ...
  • Q-system Cluster Algebras, Paths and Total Positivity 
    di Francesko, P.; Kedem, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In the first part of this paper, we provide a concise review of our method of solution of the Ar Q-systems in terms of the partition function of paths on a weighted graph. In the second part, we show that it is possible ...
  • Quantum Fields on Noncommutative Spacetimes: Theory and Phenomenology 
    Balachandran, A.P.; Ibort, A.; Marmo, G.; Martone, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In the present work we review the twisted field construction of quantum field theory on noncommutative spacetimes based on twisted Poincaré invariance. We present the latest development in the field, in particular the ...
  • Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation 
    Kundu, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Applying braided Yang-Baxter equation quantum integrable and Bethe ansatz solvable 1D anyonic lattice and field models are constructed. Along with known models we discover novel lattice anyonic and q-anyonic models as well ...
  • Quantum Isometry Group for Spectral Triples with Real Structure 
    Goswami, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Given a spectral triple of compact type with a real structure in the sense of [Dabrowski L., J. Geom. Phys. 56 (2006), 86-107] (which is a modification of Connes' original definition to accommodate examples coming from ...
  • Quantum Spacetime: a Disambiguation 
    Piacitelli, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We review an approach to non-commutative geometry, where models are constructed by quantisation of the coordinates. In particular we focus on the full DFR model and its irreducible components; the (arbitrary) restriction ...
  • Quiver Varieties with Multiplicities, Weyl Groups of Non-Symmetric Kac-Moody Algebras, and Painlevé Equations 
    Yamakawa, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    To a finite quiver equipped with a positive integer on each of its vertices, we associate a holomorphic symplectic manifold having some parameters. This coincides with Nakajima's quiver variety with no stability parameter/framing ...
  • Singular Reduction of Generalized Complex Manifolds 
    Goldberg, T.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In this paper, we develop results in the direction of an analogue of Sjamaar and Lerman's singular reduction of Hamiltonian symplectic manifolds in the context of reduction of Hamiltonian generalized complex manifolds (in ...
  • Sklyanin Determinant for Reflection Algebra 
    Rozhkovskaya, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Reflection algebras is a class of algebras associated with integrable models with boundaries. The coefficients of Sklyanin determinant generate the center of the reflection algebra. We give a combinatorial description of ...
  • Snyder Space-Time: K-Loop and Lie Triple System 
    Girelli, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Different deformations of the Poincaré symmetries have been identified for various non-commutative spaces (e.g. κ-Minkowski, sl(2,R), Moyal). We present here the deformation of the Poincaré symmetries related to Snyder ...
  • 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 ...

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