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Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за датою випуску

Сортувати за: Порядок: Результатів:

  • u-Deformed WZW model and its gauging 
    Klimčík, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We review the description of a particular deformation of the WZW model. The resulting theory exhibits a Poisson-Lie symmetry with a non-Abelian cosymmetry group and can be vectorially gauged.
  • On the Darboux-Nijenhuis variables for the open Toda lattice 
    Grigoryev, Y.A.; Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We discuss two known constructions proposed by Moser and by Sklyanin of the Darboux-Nijenhuis coordinates for the open Toda lattice.
  • Bethe ansatz solutions of the Bose-Hubbard dimer 
    Links, J.; Hibberd, K.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The Bose-Hubbard dimer Hamiltonian is a simple yet effective model for describing tunneling phenomena of Bose-Einstein condensates. One of the significant mathematical properties of the model is that it can be exactly ...
  • Noncommutative geometry: fuzzy spaces, the Groenewold-Moyal plane 
    Balachandran, A.P.; Qureshi, B.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    In this talk, we review the basics concepts of fuzzy physics and quantum field theory on the Groenewold-Moyal Plane as examples of noncommutative spaces in physics. We introduce the basic ideas, and discuss some important ...
  • On the one class of hyperbolic systems 
    Adler, V.E.; Shabat, A.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The classification problem is solved for some type of nonlinear lattices. These lattices are closely related to the lattices of Ruijsenaars-Toda type and define the Bäcklund auto-transformations for the class of two-component ...
  • A q-analogue of the centralizer construction and skew representations of the quantum Affine algebra 
    Hopkins, M.J.; Molev, A.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We prove an analogue of the Sylvester theorem for the generator matrices of the quantum affine algebra Uq(gln). We then use it to give an explicit realization of the skew representations of the quantum affine algebra. This ...
  • Dynamical R matrices of elliptic quantum groups and connection matrices for the q-KZ equations 
    Konno, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    For any affine Lie algebra g, we show that any finite dimensional representation of the universal dynamical R matrix R(λ) of the elliptic quantum group Bq,λ(g) coincides with a corresponding connection matrix for the ...
  • Non-commutative mechanics in mathematical & in condensed matter physics 
    Horváthy, P.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Non-commutative structures were introduced, independently and around the same time, in mathematical and in condensed matter physics (see Table 1). Souriau's construction applied to the two-parameter central extension of ...
  • Para-Grassmann variables and coherent states 
    Cabra, D.C.; Moreno, E.F.; Tanasă, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The definitions of para-Grassmann variables and q-oscillator algebras are recalled. Some new properties are given. We then introduce appropriate coherent states as well as their dual states. This allows us to obtain a ...
  • Quantum gravity as a broken symmetry phase of a BF theory 
    Miković, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We explain how General Relativity with a cosmological constant arises as a broken symmetry phase of a BF theory. In particular we show how to treat de Sitter and anti-de Sitter cases simultaneously. This is then used to ...
  • Multivariable Christoffel-Darboux kernels and characteristic polynomials of random hermitian matrices 
    Rosengren, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We study multivariable Christoffel-Darboux kernels, which may be viewed as reproducing kernels for antisymmetric orthogonal polynomials, and also as correlation functions for products of characteristic polynomials of random ...
  • R-matrix and Baxter Q-operators for the noncompact SL(N,C) invariant spin chain 
    Derkachov, S.É.; Manashov, A.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The problem of constructing the SL(N,C) invariant solutions to the Yang-Baxter equation is considered. The solutions (R-operators) for arbitrarily principal series representations of SL(N,C) are obtained in an explicit ...
  • Fermion on curved spaces, symmetries, and quantum anomalies 
    Visinescu, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We review the geodesic motion of pseudo-classical spinning particles in curved spaces. Investigating the generalized Killing equations for spinning spaces, we express the constants of motion in terms of Killing-Yano tensors. ...
  • The form factor program: a review and new results − the nested SU(N) off-shell Bethe ansatz 
    Babujian, H.M.; Foerster, A.; Karowski, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The purpose of the ''bootstrap program'' for integrable quantum field theories in 1+1 dimensions is to construct explicitly a model in terms of its Wightman functions. In this article, this program is mainly illustrated ...
  • A formula for the logarithm of the KZ associator 
    Enriquez, B.; Gavarini, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We prove that the logarithm of a group-like element in a free algebra coincides with its image by a certain linear map. We use this result and the formula of Le and Murakami for the Knizhnik-Zamolodchikov (KZ) associator ...
  • Invariant varieties of periodic points for the discrete Euler top 
    Saito, S.; Saitoh, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The behaviour of periodic points of discrete Euler top is studied. We derive invariant varieties of periodic points explicitly. When the top is axially symmetric they are specified by some particular values of the angular ...
  • Restricted flows and the soliton equation with self-consistent sources 
    Runliang Lin; Haishen Yao; Yunbo Zeng (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The KdV equation is used as an example to illustrate the relation between the restricted flows and the soliton equation with self-consistent sources. Inspired by the results on the Bäcklund transformation for the restricted ...
  • Einstein-Riemann gravity on deformed spaces 
    Wess, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    A differential calculus, differential geometry and the E-R Gravity theory are studied on noncommutative spaces. Noncommutativity is formulated in the star product formalism. The basis for the gravity theory is the infinitesimal ...
  • Solvable nonlinear evolution PDEs in multidimensional space 
    Calogero, F.; Sommacal, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    A class of solvable (systems of) nonlinear evolution PDEs in multidimensional space is discussed. We focus on a rotation-invariant system of PDEs of Schrödinger type and on a relativistically-invariant system of PDEs of ...
  • Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere 
    Panero, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We review some recent progress in quantum field theory in non-commutative space, focusing onto the fuzzy sphere as a non-perturbative regularisation scheme. We first introduce the basic formalism, and discuss the limits ...

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