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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7 за датою випуску

Сортувати за: Порядок: Результатів:

  • Coordinate Bethe Ansatz for Spin s XXX Model 
    Crampé, N.; Ragoucy, E.; Alonzi, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We compute the eigenfunctions and eigenvalues of the periodic integrable spin s XXX model using the coordinate Bethe ansatz. To do so, we compute explicitly the Hamiltonian of the model. These results generalize what has ...
  • 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. ...
  • The Decomposition of Global Conformal Invariants: Some Technical Proofs. I 
    Alexakis, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    This paper forms part of a larger work where we prove a conjecture of Deser and Schwimmer regarding the algebraic structure of ''global conformal invariants''; these are defined to be conformally invariant integrals of ...
  • Orthogonality Relations for Multivariate Krawtchouk Polynomials 
    Mizukawa, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The orthogonality relations of multivariate Krawtchouk polynomials are discussed. In case of two variables, the necessary and sufficient conditions of orthogonality is given by Grünbaum and Rahman in [SIGMA 6 (2010), 090, ...
  • Beyond the Gaussian 
    Fujii, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper we present a non-Gaussian integral based on a cubic polynomial, instead of a quadratic, and give a fundamental formula in terms of its discriminant. It gives a mathematical reinforcement to the recent result ...
  • Integration of Cocycles and Lefschetz Number Formulae for Differential Operators 
    Ramadoss, A.C. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Let E be a holomorphic vector bundle on a complex manifold X such that dimCX=n. Given any continuous, basic Hochschild 2n-cocycle ψ2n of the algebra Diffn of formal holomorphic differential operators, one obtains a 2n-form ...
  • 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 ...
  • 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 ...
  • Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End 
    Filali, G.; Kitanine, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper we consider two a priori very different problems: construction of the eigenstates of the spin chains with non parallel boundary magnetic fields and computation of the partition function for the trigonometric ...
  • On the Complex Symmetric and Skew-Symmetric Operators with a Simple Spectrum 
    Zagorodnyuk, S.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper we obtain necessary and sufficient conditions for a linear bounded operator in a Hilbert space H to have a three-diagonal complex symmetric matrix with non-zero elements on the first sub-diagonal in an ...
  • Intertwinors on Functions over the Product of Spheres 
    Hong, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We give explicit formulas for the intertwinors on the scalar functions over the product of spheres with the natural pseudo-Riemannian product metric using the spectrum generating technique. As a consequence, this provides ...
  • Vector-Valued Jack Polynomials from Scratch 
    Dunkl, C.F.; Luque, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Vector-valued Jack polynomials associated to the symmetric group SN are polynomials with multiplicities in an irreducible module of SN and which are simultaneous eigenfunctions of the Cherednik-Dunkl operators with some ...
  • Two Point Correlation Functions for a Periodic Box-Ball System 
    Mada, J.; Tokihiro, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We investigate correlation functions in a periodic box-ball system. For the second and the third nearest neighbor correlation functions, we give explicit formulae obtained by combinatorial methods. A recursion formula for ...
  • Planarizable Supersymmetric Quantum Toboggans 
    Znojil, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In supersymmetric quantum mechanics the emergence of a singularity may lead to the breakdown of isospectrality between partner potentials. One of the regularization recipes is based on a topologically nontrivial, multisheeted ...
  • 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 ...
  • Shifted Riccati Procedure: Application to Conformal Barotropic FRW Cosmologies 
    Rosu, H.C.; Khmelnytskaya, K.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In the case of barotropic FRW cosmologies, the Hubble parameter in conformal time is the solution of a simple Riccati equation of constant coefficients. We consider these cosmologies in the framework of nonrelativistic ...
  • Correlation Function and Simplified TBA Equations for XXZ Chain 
    Takahashi, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The calculation of the correlation functions of Bethe ansatz solvable models is very difficult problem. Among these solvable models spin 1/2 XXX chain has been investigated for a long time. Even for this model only the ...
  • The Quantum 3D Superparticle 
    Mezincescu, L.; Townsend, P.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The minimal (N=1) superparticle in three spacetime dimensions (3D) is quantized. For non-zero mass it describes a spin-1/4 semion supermultiplet of ''relativistic helicities'' (−1/4,1/4). The addition of a parity-violating ...
  • Schrödinger-like Dilaton Gravity 
    Nakayama, Yu (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We investigate possibilities for a Schrödinger-like gravity with the dynamical critical exponent z=2, where the action only contains the first-order time derivative. The Horava gravity always admits such a relevant deformation ...
  • Supersymmetric Quantum Mechanics and Painlevé IV Equation 
    Bermudez, David; Fern'andez C., David J. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    As it has been proven, the determination of general one-dimensional Schrödinger Hamiltonians having third-order differential ladder operators requires to solve the Painlevé IV equation. In this work, it will be shown that ...

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