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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5 за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5 за назвою

Сортувати за: Порядок: Результатів:

  • Leitner, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We describe the local conformal geometry of a Lorentzian spin manifold (M,g) admitting a twistor spinor φ with zero. Moreover, we describe the shape of the zero set of φ. If φ has isolated zeros then the metric g is locally ...
  • Ito, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We present an explicit expression for the q-difference system, which the BC1-type Jackson integral (q-series) satisfies, as first order simultaneous q-difference equations with a concrete basis. As an application, we give ...
  • Yamada, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A Lax formalism for the elliptic Painlevé equation is presented. The construction is based on the geometry of the curves on P¹ × P¹ and described in terms of the point configurations.
  • Baianu, I.C.; Glazebrook, J.G.; Brown, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A novel algebraic topology approach to supersymmetry (SUSY) and symmetry breaking in quantum field and quantum gravity theories is presented with a view to developing a wide range of physical applications. These include: ...
  • Bar-Moshe, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Let G be a compact semisimple Lie group and T be a maximal torus of G. We describe a method for weight multiplicity computation in unitary irreducible representations of G, based on the theory of Berezin quantization on ...
  • Déctor, A.; Morales-Técotl, H.A.; Urrutia, L.F.; Vergara, J.D. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Our purpose in this paper is to analyze the Pais-Uhlenbeck (PU) oscillator using complex canonical transformations. We show that starting from a Lagrangian approach we obtain a transformation that makes the extended PU ...
  • Takasaki, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Recently the study of Fay-type identities revealed some new features of the DKP hierarchy (also known as ''the coupled KP hierarchy'' and ''the Pfaff lattice''). Those results are now extended to a Toda version of the DKP ...
  • Hollands, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In this paper, we propose a new framework for quantum field theory in terms of consistency conditions. The consistency conditions that we consider are ''associativity'' or ''factorization'' conditions on the operator product ...
  • Sakka, A.H. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We give Bäcklund transformations for first and second Painlevé hierarchies. These Bäcklund transformations are generalization of known Bäcklund transformations of the first and second Painlevé equations and they relate the ...
  • van de Bult, F.J.; Rains, E.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We describe a uniform way of obtaining basic hypergeometric functions as limits of the elliptic beta integral. This description gives rise to the construction of a polytope with a different basic hypergeometric function ...
  • Abdelkefi, C.; Sassi, F.; Sifi, M.; Anker, Jean-Philippe (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In this paper, we show the inclusion and the density of the Schwartz space in Besov-Dunkl spaces and we prove an interpolation formula for these spaces by the real method. We give another characterization for these spaces ...
  • Sasaki, Ryu; Yang, Wen-Li; Zhang, Yao-Zhong (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Bethe ansatz formulation is presented for several explicit examples of quasi exactly solvable difference equations of one degree of freedom which are introduced recently by one of the present authors. These equations are ...
  • Fox, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Harmonic functions u: Rn → Rm are equivalent to integral manifolds of an exterior differential system with independence condition (M,I,ω). To this system one associates the space of conservation laws C. They provide necessary ...
  • Crampin, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    This paper is a study of the relationship between two constructions associated with Cartan geometries, both of which involve Lie algebroids: the Cartan algebroid, due to [Blaom A.D., Trans. Amer. Math. Soc. 358 (2006), ...
  • Bouarroudj, S.; Grozman, P.; Leites, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Finite dimensional modular Lie superalgebras over algebraically closed fields with indecomposable Cartan matrices are classified under some technical, most probably inessential, hypotheses. If the Cartan matrix is invertible, ...
  • McRae, A.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Following Herranz and Santander [Herranz F.J., Santander M., Mem. Real Acad. Cienc. Exact. Fis. Natur. Madrid 32 (1998), 59-84, physics/9702030] we will construct homogeneous spaces based on possible kinematical algebras ...
  • Bagchi, B.; Fring, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We demonstrate that the recent paper by Jana and Roy entitled ''Non-Hermitian quantum mechanics with minimal length uncertainty'' [SIGMA 5 (2009), 083, 7 pages, arXiv:0908.1755] contains various misconceptions. We compare ...
  • Smilga, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We discuss the quantum dynamics of the PU oscillator, i.e. the system with the Lagrangian L = ½ [ ¨q² - (Ω₁² + Ω₂²) ·q² + Ω₁²Ω₂²q ] (+ nonlinear terms). When Ω₁ ≠ Ω₂, the free PU oscillator has a pure point spectrum ...
  • Alekseevsky, D.V.; Nikonorov, Y.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A homogeneous Riemannian space (M = G/H,g) is called a geodesic orbit space (shortly, GO-space) if any geodesic is an orbit of one-parameter subgroup of the isometry group G. We study the structure of compact GO-spaces and ...
  • Ianus, S.; Visinescu, M.; Vîlcu, G.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We show the existence of conformal Killing-Yano tensors on a manifold endowed with a mixed 3-Sasakian structure.

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