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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • About Twistor Spinors with Zero in Lorentzian Geometry 
    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 ...
  • A First Order q-Difference System for the BC₁-Type Jackson Integral and Its Applications 
    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 ...
  • A Lax Formalism for the Elliptic Difference Painlevé Equation 
    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.
  • Algebraic Topology Foundations of Supersymmetry and Symmetry Breaking in Quantum Field Theory and Quantum Gravity: A Review 
    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: ...
  • A Method for Weight Multiplicity Computation Based on Berezin Quantization 
    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 ...
  • An Alternative Canonical Approach to the Ghost Problem in a Complexified Extension of the Pais-Uhlenbeck Oscillator 
    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 ...
  • Auxiliary Linear Problem, Difference Fay Identities and Dispersionless Limit of Pfaff-Toda Hierarchy 
    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 ...
  • Axiomatic Quantum Field Theory in Terms of Operator Product Expansions: General Framework, and Perturbation Theory via Hochschild Cohomology 
    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 ...
  • Bäcklund Transformations for First and Second Painlevé Hierarchies 
    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 ...
  • Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions 
    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 ...
  • Besov-Type Spaces on Rd and Integrability for the Dunkl Transform 
    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 ...
  • Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations 
    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 ...
  • Boundaries of Graphs of Harmonic Functions 
    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 ...
  • Cartan Connections and Lie Algebroids 
    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), ...
  • Classification of Finite Dimensional Modular Lie Superalgebras with Indecomposable Cartan Matrix 
    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, ...
  • Clifford Fibrations and Possible Kinematics 
    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 ...
  • Comment on ''Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty'' 
    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 ...
  • Comments on the Dynamics of the Pais-Uhlenbeck Oscillator 
    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 ...
  • Compact Riemannian Manifolds with Homogeneous Geodesics 
    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 ...
  • Conformal Killing-Yano Tensors on Manifolds with Mixed 3-Structures 
    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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