Наукова електронна бібліотека
періодичних видань НАН України

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:

  • q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra Uq(u(n,1)) 
    Asherova, R.M.; Burdík, Č.; Havlíček, M.; Smirnov, Y.F.; Tolstoy, V.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    For the quantum algebra Uq(gl(n+1)) in its reduction on the subalgebra Uq(gl(n)) an explicit description of a Mickelsson-Zhelobenko reduction Z-algebra Zq(gl(n+1),gl(n)) is given in terms of the generators and their defining ...
  • q-Boson in Quantum Integrable Systems 
    Kundu, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    q-bosonic realization of the underlying Yang-Baxter algebra is identified for a series of quantum integrable systems, including some new models like two-mode q-bosonic model leading to a coupled two-component derivative ...
  • Q-Curvature, Spectral Invariants, and Representation Theory 
    Branson, T.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We give an introductory account of functional determinants of elliptic operators on manifolds and Polyakov-type formulas for their infinitesimal and finite conformal variations. We relate this to extremal problems and to ...
  • q-Deformed Bi-Local Fields II 
    Toyoda, H.; Naka, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We study a way of q-deformation of the bi-local system, the two particle system bounded by a relativistic harmonic oscillator type of potential, from both points of view of mass spectra and the behavior of scattering ...
  • q-Deformed KP Hierarchy and q-Deformed Constrained KP Hierarchy 
    He, Jingsong; Li, Yinghua; Cheng, Yi (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Using the determinant representation of gauge transformation operator, we have shown that the general form of τ function of the q-KP hierarchy is a q-deformed generalized Wronskian, which includes the q-deformed Wronskian ...
  • q -Difference Kac-Schwarz Operators in Topological String Theory 
    Takasaki, K.; Nakatsu, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The perspective of Kac-Schwarz operators is introduced to the authors' previous work on the quantum mirror curves of topological string theory in strip geometry and closed topological vertex. Open string amplitudes on each ...
  • Q-system Cluster Algebras, Paths and Total Positivity 
    di Francesko, P.; Kedem, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In the first part of this paper, we provide a concise review of our method of solution of the Ar Q-systems in terms of the partition function of paths on a weighted graph. In the second part, we show that it is possible ...
  • Quadratic Algebra Approach to an Exactly Solvable Position-Dependent Mass Schrödinger Equation in Two Dimensions 
    Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    An exactly solvable position-dependent mass Schrödinger equation in two dimensions, depicting a particle moving in a semi-infinite layer, is re-examined in the light of recent theories describing superintegrable two-dimensional ...
  • Qualitative Analysis of the Classical and Quantum Manakov Top 
    Sinitsyn, E.; Zhilinskii, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Qualitative features of the Manakov top are discussed for the classical and quantum versions of the problem. Energy-momentum diagram for this integrable classical problem and quantum joint spectrum of two commuting observables ...
  • Quantitative K-Theory Related to Spin Chern Numbers 
    Loring, T.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We examine the various indices defined on pairs of almost commuting unitary matrices that can detect pairs that are far from commuting pairs. We do this in two symmetry classes, that of general unitary matrices and that ...
  • Quantum Analogs of Tensor Product Representations of su(1,1) 
    Groenevelt, W. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We study representations of Uq(su(1,1)) that can be considered as quantum analogs of tensor products of irreducible *-representations of the Lie algebra su(1,1). We determine the decomposition of these representations into ...
  • Quantum Cosmology from Group Field Theory Condensates: a Review 
    Gielen, S.; Sindoni, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We give, in some detail, a critical overview over recent work towards deriving a cosmological phenomenology from the fundamental quantum dynamics of group field theory (GFT), based on the picture of a macroscopic universe ...
  • Quantum Curve and the First Painlevé Equation 
    Iwaki, K.; Saenz, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We show that the topological recursion for the (semi-classical) spectral curve of the first Painlevé equation PI gives a WKB solution for the isomonodromy problem for PI. In other words, the isomonodromy system is a quantum ...
  • Quantum Deformations and Superintegrable Motions on Spaces with Variable Curvature 
    Ragnisco, O.; Ballesteros, A.; Herranz, F.J.; Musso, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    An infinite family of quasi-maximally superintegrable Hamiltonians with a common set of (2N-3) integrals of the motion is introduced. The integrability properties of all these Hamiltonians are shown to be a consequence of ...
  • Quantum Dimension and Quantum Projective Spaces 
    Matassa, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We show that the family of spectral triples for quantum projective spaces introduced by D'Andrea and Dąbrowski, which have spectral dimension equal to zero, can be reconsidered as modular spectral triples by taking into ...
  • Quantum Dynamics on the Worldvolume from Classical su(n) Cohomology 
    Isidro, J.M.; Fernández de Córdoba, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    A key symmetry of classical p-branes is invariance under worldvolume diffeomorphisms. Under the assumption that the worldvolume, at fixed values of the time, is a compact, quantisable Kähler manifold, we prove that the Lie ...
  • Quantum Entanglement and Projective Ring Geometry 
    Planat, M.; Saniga, M.; Kibler, M.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The paper explores the basic geometrical properties of the observables characterizing two-qubit systems by employing a novel projective ring geometric approach. After introducing the basic facts about quantum complementarity ...
  • Quantum Fields on Noncommutative Spacetimes: Theory and Phenomenology 
    Balachandran, A.P.; Ibort, A.; Marmo, G.; Martone, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In the present work we review the twisted field construction of quantum field theory on noncommutative spacetimes based on twisted Poincaré invariance. We present the latest development in the field, in particular the ...
  • 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 ...
  • 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 ...

Пошук


Розширений пошук

Перегляд

Мій обліковий запис