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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • Construction of the Bethe State for the Eτ,η(so₃) Elliptic Quantum Group 
    Manojlović, N.; Nagy, Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Elliptic quantum groups can be associated to solutions of the star-triangle relation of statistical mechanics. In this paper, we consider the particular case of the Eτ,η(so₃) elliptic quantum group. In the context of ...
  • Constructive Tensor Field Theory 
    Rivasseau, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We provide an up-to-date review of the recent constructive program for field theories of the vector, matrix and tensor type, focusing not on the models themselves but on the mathematical tools used.
  • Contact Geometry of Curves 
    Vassiliou, P.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Cartan's method of moving frames is briefly recalled in the context of immersed curves in the homogeneous space of a Lie group G. The contact geometry of curves in low dimensional equi-affine geometry is then made explicit. ...
  • Contact Geometry of Hyperbolic Equations of Generic Type 
    The, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We study the contact geometry of scalar second order hyperbolic equations in the plane of generic type. Following a derivation of parametrized contact-invariants to distinguish Monge-Ampère (class 6-6), Goursat (class 6-7) ...
  • Contact Isotropic Realisations of Jacobi Manifolds via Spencer Operators 
    Salazar, M.A.; Sepe, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Motivated by the importance of symplectic isotropic realisations in the study of Poisson manifolds, this paper investigates the local and global theory of contact isotropic realisations of Jacobi manifolds, which are those ...
  • Continuous and Discrete (Classical) Heisenberg Spin Chain Revised 
    Ragnisco, O.; Zullo, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Most of the work done in the past on the integrability structure of the Classical Heisenberg Spin Chain (CHSC) has been devoted to studying the su(2) case, both at the continuous and at the discrete level. In this paper ...
  • Continuous Choreographies as Limiting Solutions of N-body Type Problems with Weak Interaction 
    Castaneira, R.; Padilla, P.; Sánchez-Morgado, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We consider the limit N→+∞ of N-body type problems with weak interaction, equal masses and −σ-homogeneous potential, 0<σ<1. We obtain the integro-differential equation that the motions must satisfy, with limit choreographic ...
  • Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials 
    Kalnins, E.G.; Miller Jr., W.; Post, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We show explicitly that all 2nd order superintegrable systems in 2 dimensions are limiting cases of a single system: the generic 3-parameter potential on the 2-sphere, S9 in our listing. We extend the Wigner-Inönü method ...
  • Contractions of Degenerate Quadratic Algebras, Abstract and Geometric 
    Escobar Ruiz, M.A.; Subag, E.; Miller Jr., W. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Quadratic algebras are generalizations of Lie algebras which include the symmetry algebras of 2nd order superintegrable systems in 2 dimensions as special cases. The superintegrable systems are exactly solvable physical ...
  • 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 ...
  • 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 ...
  • Cosmological Symmetry Breaking and Generation of Electromagnetic Field 
    Nagasawa, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Cosmological phase transitions accompanied by some kind of symmetry breaking would cause the creation of topological defects and the resulting production of primordial magnetic field. Moreover, such a procedure inevitably ...
  • Coupled Modified KP Hierarchy and Its Dispersionless Limit 
    Takebe, T.; Teo, Lee-Peng (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We define the coupled modified KP hierarchy and its dispersionless limit. This integrable hierarchy is a generalization of the ''half'' of the Toda lattice hierarchy as well as an extension of the mKP hierarchy. The solutions ...
  • Courant Algebroids. A Short History 
    Kosmann-Schwarzbach, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    The search for a geometric interpretation of the constrained brackets of Dirac led to the definition of the Courant bracket. The search for the right notion of a ''double'' for Lie bialgebroids led to the definition of ...
  • Covariant Approach of the Dynamics of Particles in External Gauge Fields, Killing Tensors and Quantum Gravitational Anomalies 
    Visinescu, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We give an overview of the first integrals of motion of particles in the presence of external gauge fields in a covariant Hamiltonian approach. The special role of Stäckel-Killing and Killing-Yano tensors is pointed out. ...
  • Covariant Fields of C*-Algebras under Rieffel Deformation 
    Belmonte, F.; Măntoiu, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We show that Rieffel's deformation sends covariant C(T)-algebras into C(T)-algebras. We also treat the lower semi-continuity issue, proving that Rieffel's deformation transforms covariant continuous fields of C*-algebras ...
  • Cryptohermitian Picture of Scattering Using Quasilocal Metric Operators 
    Znojil, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    One-dimensional unitary scattering controlled by non-Hermitian (typically, PT-symmetric) quantum Hamiltonians H ≠ H† is considered. Treating these operators via Runge-Kutta approximation, our three-Hilbert-space formulation ...
  • Curved Casimir Operators and the BGG Machinery 
    Cap, A.; Soucek, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We prove that the Casimir operator acting on sections of a homogeneous vector bundle over a generalized flag manifold naturally extends to an invariant differential operator on arbitrary parabolic geometries. We study some ...
  • Cyclic Homology and Quantum Orbits 
    Maszczyk, T.; Sütlü, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    A natural isomorphism between the cyclic object computing the relative cyclic homology of a homogeneous quotient-coalgebra-Galois extension, and the cyclic object computing the cyclic homology of a Galois coalgebra with ...
  • (D+1)-Colored Graphs - a Review of Sundry Properties 
    Ryan, J.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We review the combinatorial, topological, algebraic and metric properties supported by (D+1)-colored graphs, with a focus on those that are pertinent to the study of tensor model theories. We show how to extract a limiting ...

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