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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:

  • Factor-Group-Generated Polar Spaces and (Multi-)Qudits 
    Havlicek, H.; Odehnal, B.; Saniga, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Recently, a number of interesting relations have been discovered between generalised Pauli/Dirac groups and certain finite geometries. Here, we succeeded in finding a general unifying framework for all these relations. We ...
  • Factorizable R-Matrices for Small Quantum Groups 
    Lentner, S.; Ohrmann, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Representations of small quantum groups uq(g) at a root of unity and their extensions provide interesting tensor categories, that appear in different areas of algebra and mathematical physics. There is an ansatz by Lusztig ...
  • Factor Ordering and Path Integral Measure for Quantum Gravity in (1+1) Dimensions 
    Haga, J.; Maitra, R.L. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We develop a mathematically rigorous path integral representation of the time evolution operator for a model of (1+1) quantum gravity that incorporates factor ordering ambiguity. In obtaining a suitable integral kernel for ...
  • Families of Integrable Equations 
    Kassotakis, P.; Nieszporski, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We present a method to obtain families of lattice equations. Specifically we focus on two of such families, which include 3-parameters and their members are connected through Bäcklund transformations. At least one of the ...
  • Fast Basins and Branched Fractal Manifolds of Attractors of Iterated Function Systems 
    Barnsley, M.F.; Vince, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The fast basin of an attractor of an iterated function system (IFS) is the set of points in the domain of the IFS whose orbits under the associated semigroup intersect the attractor. Fast basins can have non-integer dimension ...
  • Faster than Hermitian Time Evolution 
    Bender, C.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    For any pair of quantum states, an initial state |Iñ and a final quantum state |Fñ, in a Hilbert space, there are many Hamiltonians H under which |Iñ evolves into |Fñ. Let us impose the constraint that the difference between ...
  • 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. ...
  • 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. ...
  • Field-Theoretic Weyl Deformation Quantization of Enlarged Poisson Algebras 
    Honegger, R.; Rieckers, A.; Schlafer, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    C*-algebraic Weyl quantization is extended by allowing also degenerate pre-symplectic forms for the Weyl relations with infinitely many degrees of freedom, and by starting out from enlarged classical Poisson algebras. A ...
  • Field Theory on Curved Noncommutative Spacetimes 
    Schenkel, A.; Uhlemann, C.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We study classical scalar field theories on noncommutative curved spacetimes. Following the approach of Wess et al. [Classical Quantum Gravity 22 (2005), 3511 and Classical Quantum Gravity 23 (2006), 1883], we describe ...
  • Finding Liouvillian First Integrals of Rational ODEs of Any Order in Finite Terms 
    Kosovtsov, Y.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    It is known, due to Mordukhai-Boltovski, Ritt, Prelle, Singer, Christopher and others, that if a given rational ODE has a Liouvillian first integral then the corresponding integrating factor of the ODE must be of a very ...
  • Fine Gradings of Low-Rank Complex Lie Algebras and of Their Real Forms 
    Svobodová, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    In this review paper, we treat the topic of fine gradings of Lie algebras. This concept is important not only for investigating the structural properties of the algebras, but, on top of that, the fine gradings are often ...
  • Finite-Temperature Form Factors: a Review 
    Doyon, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We review the concept of finite-temperature form factor that was introduced recently by the author in the context of the Majorana theory. Finite-temperature form factors can be used to obtain spectral decompositions of ...
  • Finite Unification: Theory and Predictions 
    Heinemeyer, S.; Mondragón, M.; Zoupanos, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    All-loop Finite Unified Theories (FUTs) are very interesting N=1 supersymmetric Grand Unified Theories (GUTs) which not only realise an old field theoretic dream but also have a remarkable predictive power due to the ...
  • First Hitting Time of the Boundary of the Weyl Chamber by Radial Dunkl Processes 
    Demni, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We provide two equivalent approaches for computing the tail distribution of the first hitting time of the boundary of the Weyl chamber by a radial Dunkl process. The first approach is based on a spectral problem with initial ...
  • First Integrals of Extended Hamiltonians in n+1 Dimensions Generated by Powers of an Operator 
    Chanu, C.; Degiovanni, L.; Rastelli, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We describe a procedure to construct polynomial in the momenta first integrals of arbitrarily high degree for natural Hamiltonians H obtained as one-dimensional extensions of natural (geodesic) n-dimensional Hamiltonians ...
  • Fixed Point Algebras for Easy Quantum Groups 
    Gabriel, O.; Weber, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Compact matrix quantum groups act naturally on Cuntz algebras. The first author isolated certain conditions under which the fixed point algebras under this action are Kirchberg algebras. Hence they are completely determined ...
  • Flat (2,3,5)-Distributions and Chazy's Equations 
    Randall, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    n the geometry of generic 2-plane fields on 5-manifolds, the local equivalence problem was solved by Cartan who also constructed the fundamental curvature invariant. For generic 2-plane fields or (2,3,5)-distributions ...
  • Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability 
    Mazharimousavi, H.; Mustafa, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The kinetic energy operator with position-dependent-mass in plane polar coordinates is obtained. The separability of the corresponding Schr¨odinger equation is discussed. A hypothetical toy model is reported and two exactly ...
  • Flowing in Group Field Theory Space: a Review 
    Carrozza, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We provide a non-technical overview of recent extensions of renormalization methods and techniques to Group Field Theories (GFTs), a class of combinatorially non-local quantum field theories which generalize matrix models ...

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