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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4, випуск за цей рік за датою випуску

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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4, випуск за цей рік за датою випуску

Сортувати за: Порядок: Результатів:

  • Symmetry Extensions and Their Physical Reasons in the Kinetic and Hydrodynamic Plasma Models 
    Taranov, V.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Characteristic examples of continuous symmetries in hydrodynamic plasma theory (partial differential equations) and in kinetic Vlasov-Maxwell models (integro-differential equations) are considered. Possible symmetry ...
  • Effects of Quark Interactions on Dynamical Chiral Symmetry Breaking by a Magnetic Field 
    Hiller, B.; Osipov, A.A.; Blin, A.H.; Providência, João da (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    It is shown how the strong interaction dynamics of a multi-quark Lagrangian affects the catalysis of dynamical symmetry breaking by a constant magnetic field in (3+1) dimensions. Attention is drawn to the local minima ...
  • Equivariance, Variational Principles, and the Feynman Integral 
    Svetlichny, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We argue that the variational calculus leading to Euler's equations and Noether's theorem can be replaced by equivariance and invariance conditions avoiding the action integral. We also speculate about the origin of ...
  • Free Field Construction of D-Branes in Rational Models of CFT and Gepner Models 
    Parkhomenko, S.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    This is a review article of my recent papers on free field construction of D-branes in N = 2 superconformal minimal models and Gepner models.
  • Symmetry Transformation in Extended Phase Space: the Harmonic Oscillator in the Husimi Representation 
    Bahrami, S.; Nasiri, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    In a previous work the concept of quantum potential is generalized into extended phase space (EPS) for a particle in linear and harmonic potentials. It was shown there that in contrast to the Schrödinger quantum mechanics ...
  • Non-Gatherable Triples for Non-Affine Root Systems 
    Cherednik, I.; Schneider, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    This paper contains a complete description of minimal non-gatherable triangle triples in the lambda-sequences for the classical root systems, F₄ and E₆. Such sequences are associated with reduced decompositions (words) in ...
  • Towards Unifying Structures in Higher Spin Gauge Symmetry 
    Bengtsson, Anders K.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    This article is expository in nature, outlining some of the many still incompletely understood features of higher spin field theory. We are mainly considering higher spin gauge fields in their own right as free-standing ...
  • Generalized Hasimoto Transform of One-Dimensional Dispersive Flows into Compact Riemann Surfaces 
    Onodera, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We study the structure of differential equations of one-dimensional dispersive flows into compact Riemann surfaces. These equations geometrically generalize two-sphere valued systems modeling the motion of vortex filament. ...
  • On Parametrization of the Linear GL(4,C) and Unitary SU(4) Groups in Terms of Dirac Matrices 
    Red'kov, V.M.; Bogush, A.A.; Tokarevskaya, N.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Parametrization of 4 × 4-matrices G of the complex linear group GL(4,C) in terms of four complex 4-vector parameters (k,m,n,l) is investigated. Additional restrictions separating some subgroups of GL(4,C) are given explicitly. ...
  • Liouville Theorem for Dunkl Polyharmonic Functions 
    Ren, G.; Liu, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Assume that f is Dunkl polyharmonic in Rn (i.e. (Δh)p f = 0 for some integer p, where Δh is the Dunkl Laplacian associated to a root system R and to a multiplicity function κ, defined on R and invariant with respect to the ...
  • Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions 
    Trimèche, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    In this paper we prove inversion formulas for the Dunkl intertwining operator Vk and for its dual tVk and we deduce the expression of the representing distributions of the inverse operators Vk⁻¹ and tVk⁻¹, and we give some ...
  • Classical R-Operators and Integrable Generalizations of Thirring Equations 
    Skrypnyk, T.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We construct different integrable generalizations of the massive Thirring equations corresponding loop algebras gσ in different gradings and associated ''triangular'' R-operators. We consider the most interesting cases ...
  • Models for Quadratic Algebras Associated with Second Order Superintegrable Systems in 2D 
    Kalnins, E.G.; Post, S.; Miller Jr., W. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    There are 13 equivalence classes of 2D second order quantum and classical superintegrable systems with nontrivial potential, each associated with a quadratic algebra of hidden symmetries. We study the finite and infinite ...
  • Affine Poisson Groups and WZW Model 
    Klimcík, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We give a detailed description of a dynamical system which enjoys a Poisson-Lie symmetry with two non-isomorphic dual groups. The system is obtained by taking the q → ∞ limit of the q-deformed WZW model and the understanding ...
  • On Miura Transformations and Volterra-Type Equations Associated with the Adler-Bobenko-Suris Equations 
    Levi, D.; Petrera, M.; Scimiterna, C.; Yamilov, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We construct Miura transformations mapping the scalar spectral problems of the integrable lattice equations belonging to the Adler-Bobenko-Suris (ABS) list into the discrete Schrödinger spectral problem associated with ...
  • Generating Series for Nested Bethe Vectors 
    Khoroshkin, S.; Pakuliak, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We reformulate nested relations between off-shell Uq(^glN) Bethe vectors as a certain equation on generating series of strings of the composed Uq(^glN) currents. Using inversion of the generating series we find a new type ...
  • Einstein Gravity, Lagrange-Finsler Geometry, and Nonsymmetric Metrics 
    Vacaru, S.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We formulate an approach to the geometry of Riemann-Cartan spaces provided with nonholonomic distributions defined by generic off-diagonal and nonsymmetric metrics inducing effective nonlinear and affine connections. Such ...
  • Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras 
    Fuchs, D.; Wilmarth, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We prove an explicit formula for a projection of singular vectors in the Verma module over a rank 2 Kac-Moody Lie algebra onto the universal enveloping algebra of the Heisenberg Lie algebra and of sl2 (Theorem 3). The ...
  • Isoparametric and Dupin Hypersurfaces 
    Cecil, T.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    A hypersurface Mn−1 in a real space-form Rn, Sn or Hn is isoparametric if it has constant principal curvatures. For Rn and Hn, the classification of isoparametric hypersurfaces is complete and relatively simple, but as ...
  • String Functions for Affine Lie Algebras Integrable Modules 
    Kulish, P.; Lyakhovsky, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)

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