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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік за датою випуску

Сортувати за: Порядок: Результатів:

  • Some Noncommutative Matrix Algebras Arising in the Bispectral Problem 
    Grünbaum, F.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    I revisit the so called ''bispectral problem'' introduced in a joint paper with Hans Duistermaat a long time ago, allowing now for the differential operators to have matrix coefficients and for the eigenfunctions, and one ...
  • Special Solutions and Linear Monodromy for the Two-Dimensional Degenerate Garnier System G(1112) 
    Kaneko, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We have classified special solutions around the origin for the two-dimensional degenerate Garnier system G(1112) with generic values of complex parameters, whose linear monodromy can be calculated explicitly.
  • Hypergeometric Solutions of the A₄⁽¹⁾-Surface q-Painlevé IV Equation 
    Nakazono, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We consider a q-Painlevé IV equation which is the A₄⁽¹⁾-surface type in the Sakai's classification. We find three distinct types of classical solutions with determinantal structures whose elements are basic hypergeometric ...
  • 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 ...
  • Maximal Green Sequences of Exceptional Finite Mutation Type Quivers 
    Seven, A.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Maximal green sequences are particular sequences of mutations of quivers which were introduced by Keller in the context of quantum dilogarithm identities and independently by Cecotti-Córdova-Vafa in the context of ...
  • Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles 
    Goswami, D.; Joardar, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    It is proved that the (volume and orientation-preserving) quantum isometry group of a spectral triple obtained by deformation by some dual unitary 2-cocycle is isomorphic with a similar twist-deformation of the quantum ...
  • Piecewise Principal Coactions of Co-Commutative Hopf Algebras 
    Zieliński, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Principal comodule algebras can be thought of as objects representing principal bundles in non-commutative geometry. A crucial component of a principal comodule algebra is a strong connection map. For some applications it ...
  • Exact Free Energies of Statistical Systems on Random Networks 
    Sasakura, N.; Sato, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Statistical systems on random networks can be formulated in terms of partition functions expressed with integrals by regarding Feynman diagrams as random networks. We consider the cases of random networks with bounded but ...
  • Matrix Bases for Star Products: a Review 
    Lizzi, F.; Vitale, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We review the matrix bases for a family of noncommutative ⋆ products based on a Weyl map. These products include the Moyal product, as well as the Wick-Voros products and other translation invariant ones. We also review ...
  • The Ongoing Impact of Modular Localization on Particle Theory 
    Schroer, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Modular localization is the concise conceptual formulation of causal localization in the setting of local quantum physics. Unlike QM it does not refer to individual operators but rather to ensembles of observables which ...
  • A Compact Formula for Rotations as Spin Matrix Polynomials 
    Curtright, T.L.; Fairlie, D.B.; Zachos, C.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Group elements of SU(2) are expressed in closed form as finite polynomials of the Lie algebra generators, for all definite spin representations of the rotation group. The simple explicit result exhibits connections between ...
  • Energy Spectrum and Phase Transition of Superfluid Fermi Gas of Atoms on Noncommutative Space 
    Miao, Yan-Gang; Wang, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Based on the Bogoliubov non-ideal gas model, we discuss the energy spectrum and phase transition of the superfluid Fermi gas of atoms with a weak attractive interaction on the canonical noncommutative space. Because the ...
  • The Soccer-Ball Problem 
    Hossenfelder, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The idea that Lorentz-symmetry in momentum space could be modified but still remain observer-independent has received quite some attention in the recent years. This modified Lorentz-symmetry, which has been argued to arise ...
  • Big Bang, Blowup, and Modular Curves: Algebraic Geometry in Cosmology 
    Manin, Y.I.; Marcolli, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We introduce some algebraic geometric models in cosmology related to the ''boundaries'' of space-time: Big Bang, Mixmaster Universe, Penrose's crossovers between aeons. We suggest to model the kinematics of Big Bang using ...
  • Generalised Chern-Simons Theory and G₂-Instantons over Associative Fibrations 
    Henrique N. Sá Earp (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Adjusting conventional Chern-Simons theory to G₂-manifolds, one describes G₂-instantons on bundles over a certain class of 7-dimensional flat tori which fiber non-trivially over T⁴, by a pullback argument. Moreover, if ...
  • Locally Compact Quantum Groups. A von Neumann Algebra Approach 
    Alfons Van Daele (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    In this paper, we give an alternative approach to the theory of locally compact quantum groups, as developed by Kustermans and Vaes. We start with a von Neumann algebra and a comultiplication on this von Neumann algebra. ...
  • Werner's Measure on Self-Avoiding Loops and Welding 
    Chavez, A.; Pickrell, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Werner's conformally invariant family of measures on self-avoiding loops on Riemann surfaces is determined by a single measure μ0 on self-avoiding loops in C∖{0} which surround 0. Our first major objective is to show that ...
  • Groupoid Actions on Fractafolds 
    Ionescu, M.; Kumjian, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We define a bundle over a totally disconnected set such that each fiber is homeomorphic to a fractal blowup. We prove that there is a natural action of a Renault-Deaconu groupoid on our fractafold bundle and that the ...
  • Asymptotic Analysis of the Ponzano-Regge Model with Non-Commutative Metric Boundary Data 
    Oriti, D.; Raasakka, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We apply the non-commutative Fourier transform for Lie groups to formulate the non-commutative metric representation of the Ponzano-Regge spin foam model for 3d quantum gravity. The non-commutative representation allows ...
  • Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras 
    Mazzocco, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    In this paper we introduce a basic representation for the confluent Cherednik algebras HV, HIII, HD7III and HD8III defined in arXiv:1307.6140. To prove faithfulness of this basic representation, we introduce the non-symmetric ...

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