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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік за назвою

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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Dolbeault Complex on S⁴\{·} and S⁶\{·} through Supersymmetric Glasses 
    Smilga, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    S⁴ is not a complex manifold, but it is sufficient to remove one point to make it complex. Using supersymmetry methods, we show that the Dolbeault complex (involving the holomorphic exterior derivative ∂ and its Hermitian ...
  • Dynamical Studies of Equations from the Gambier Family 
    Guha, P.; Ghose Choudhury, A.; Grammaticos, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We consider the hierarchy of higher-order Riccati equations and establish their connection with the Gambier equation. Moreover we investigate the relation of equations of the Gambier family to other nonlinear differential ...
  • Emergent Supersymmetry in Warped Backgrounds 
    Nagasawa, T.; Ohya, S.; Sakamoto, K.; Sakamoto, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We show that quantum mechanical supersymmetries are emerged in Kaluza-Klein spectrum of linearized gravity in several warped backgrounds as a consequence of higher-dimensional general coordinate invariance. These emergent ...
  • Entanglement of Grassmannian Coherent States for Multi-Partite n-Level Systems 
    Najarbashi, G.; Maleki, Yu. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper, we investigate the entanglement of multi-partite Grassmannian coherent states (GCSs) described by Grassmann numbers for n>2 degree of nilpotency. Choosing an appropriate weight function, we show that it is ...
  • Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter 
    Montesinos, M.; Velázquez, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A detailed analysis of the BF formulation for general relativity given by Capovilla, Montesinos, Prieto, and Rojas is performed. The action principle of this formulation is written in an equivalent form by doing a ...
  • Essential Parabolic Structures and Their Infinitesimal Automorphisms 
    Alt, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Using the theory of Weyl structures, we give a natural generalization of the notion of essential conformal structures and conformal Killing fields to arbitrary parabolic geometries. We show that a parabolic structure is ...
  • Exact Solutions of Nonlinear Partial Differential Equations by the Method of Group Foliation Reduction 
    Anco, S.C.; Ali, S.; Wolf, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A novel symmetry method for finding exact solutions to nonlinear PDEs is illustrated by applying it to a semilinear reaction-diffusion equation in multi-dimensions. The method uses a separation ansatz to solve an equivalent ...
  • Exact Solutions of Nonlinear Partial Differential Equations by the Method of Group Foliation Reduction 
    Anco, S.C.; Ali, S.; Wolf, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A novel symmetry method for finding exact solutions to nonlinear PDEs is illustrated by applying it to a semilinear reaction-diffusion equation in multi-dimensions. The method uses a separation ansatz to solve an equivalent ...
  • Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type A₆⁽¹⁾ 
    Murata, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    An ultradiscrete system corresponding to the q-Painlevé equation of type A₆⁽¹⁾, which is a q-difference analogue of the second Painlevé equation, is proposed. Exact solutions with two parameters are constructed for the ...
  • Families of Integrable Equations 
    Kassotakis, P.; Nieszporski, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We present a method to obtain families of lattice equations. Specifically we focus on two of such families, which include 3-parameters and their members are connected through Bäcklund transformations. At least one of the ...
  • Fermionic Basis in Conformal Field Theory and Thermodynamic Bethe Ansatz for Excited States 
    Boos, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We generalize the results of [Comm. Math. Phys. 299 (2010), 825-866] (hidden Grassmann structure IV) to the case of excited states of the transfer matrix of the six-vertex model acting in the so-called Matsubara direction. ...
  • First Integrals of Extended Hamiltonians in n+1 Dimensions Generated by Powers of an Operator 
    Chanu, C.; Degiovanni, L.; Rastelli, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We describe a procedure to construct polynomial in the momenta first integrals of arbitrarily high degree for natural Hamiltonians H obtained as one-dimensional extensions of natural (geodesic) n-dimensional Hamiltonians ...
  • Four-Dimensional Spin Foam Perturbation Theory 
    Martins, J.F.; Mikovic, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We define a four-dimensional spin-foam perturbation theory for the BF-theory with a B∧B potential term defined for a compact semi-simple Lie group G on a compact orientable 4-manifold M. This is done by using the formal ...
  • From Quantum AN (Calogero) to H₄ (Rational) Model 
    Turbiner, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A brief and incomplete review of known integrable and (quasi)-exactly-solvable quantum models with rational (meromorphic in Cartesian coordinates) potentials is given. All of them are characterized by (i) a discrete symmetry ...
  • From slq(2) to a Parabosonic Hopf Algebra 
    Tsujimoto, S.; Vinet, L.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    A Hopf algebra with four generators among which an involution (reflection) operator, is introduced. The defining relations involve commutators and anticommutators. The discrete series representations are developed. Designated ...
  • Generalized Heisenberg Algebras, SUSYQM and Degeneracies: Infinite Well and Morse Potential 
    Hussin, V.; Marquette, I. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We consider classical and quantum one and two-dimensional systems with ladder operators that satisfy generalized Heisenberg algebras. In the classical case, this construction is related to the existence of closed trajectories. ...
  • Harmonic Analysis in One-Parameter Metabelian Nilmanifolds 
    Ghorbel, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Let G be a connected, simply connected one-parameter metabelian nilpotent Lie group, that means, the corresponding Lie algebra has a one-codimensional abelian subalgebra. In this article we show that G contains a discrete ...
  • Harmonic Analysis on Quantum Complex Hyperbolic Spaces 
    Bershtein, O.; Kolisnyk, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper we obtain some results of harmonic analysis on quantum complex hyperbolic spaces. We introduce a quantum analog for the Laplace-Beltrami operator and its radial part. The latter appear to be second order ...
  • Harmonic Superfields in N=4 Supersymmetric Quantum Mechanics 
    Ivanov, E.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    This is a brief survey of applications of the harmonic superspace methods to the models of N=4 supersymmetric quantum mechanics (SQM). The main focus is on a recent progress in constructing SQM models with couplings to the ...
  • Holomorphic Parabolic Geometries and Calabi-Yau Manifolds 
    McKay, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We prove that the only complex parabolic geometries on Calabi-Yau manifolds are the homogeneous geometries on complex tori. We also classify the complex parabolic geometries on homogeneous compact Kähler manifolds.

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