Наукова електронна бібліотека
періодичних видань НАН України

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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • Fukaya Categories as Categorical Morse Homology 
    Nadler, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The Fukaya category of a Weinstein manifold is an intricate symplectic invariant of high interest in mirror symmetry and geometric representation theory. This paper informally sketches how, in analogy with Morse homology, ...
  • Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit 
    Dugave, M.; Göhmann, F.; Kozlowski, K.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We establish several properties of the solutions to the linear integral equations describing the infinite volume properties of the XXZ spin-1/2 chain in the disordered regime. In particular, we obtain lower and upper bounds ...
  • Fusion Procedure for Cyclotomic Hecke Algebras 
    Ogievetsky, O.V.; Loïc Poulain d'Andecy (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    A complete system of primitive pairwise orthogonal idempotents for cyclotomic Hecke algebras is constructed by consecutive evaluations of a rational function in several variables on quantum contents of multi-tableaux. This ...
  • Gauge Theory on Twisted κ-Minkowski: Old Problems and Possible Solutions 
    Dimitrijević, M.; Jonke, L.; Pachoł, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We review the application of twist deformation formalism and the construction of noncommutative gauge theory on κ-Minkowski space-time. We compare two different types of twists: the Abelian and the Jordanian one. In each ...
  • 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 ...
  • Generalized Coefficients for Hopf Cyclic Cohomology 
    Hassanzadeh, M.; Kucerovsky, D.; Rangipour, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    A category of coefficients for Hopf cyclic cohomology is defined. It is shown that this category has two proper subcategories of which the smallest one is the known category of stable anti Yetter-Drinfeld modules. The ...
  • Geometric Aspects of the Painlevé Equations PIII(D₆) and PIII(D₇) 
    Marius van der Put; Top, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The Riemann-Hilbert approach for the equations PIII(D6) and PIII(D7) is studied in detail, involving moduli spaces for connections and monodromy data, Okamoto-Painlevé varieties, the Painlevé property, special solutions ...
  • Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable 
    Deriglazov, A.A.; Pupasov-Maksimov, A.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Basic notions of Dirac theory of constrained systems have their analogs in differential geometry. Combination of the two approaches gives more clear understanding of both classical and quantum mechanics, when we deal with ...
  • Geometry of Centroaffine Surfaces in R⁵ 
    Bushek, N.; Clelland, J.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We use Cartan's method of moving frames to compute a complete set of local invariants for nondegenerate, 2-dimensional centroaffine surfaces in R⁵∖{0} with nondegenerate centroaffine metric. We then give a complete ...
  • Global Embedding of the Reissner-Nordström Metric in the Flat Ambient Space 
    Paston, S.A.; Sheykin, A.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We study isometric embeddings of non-extremal Reissner-Nordström metric describing a charged black hole. We obtain three new embeddings in the flat ambient space with minimal possible dimension. These embeddings are global, ...
  • Graded Limits of Minimal Affinizations in Type D 
    Naoi, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We study the graded limits of minimal affinizations over a quantum loop algebra of type D in the regular case. We show that the graded limits are isomorphic to multiple generalizations of Demazure modules, and also give ...
  • Gravity in Twistor Space and its Grassmannian Formulation 
    Cachazo, F.; Mason, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We prove the formula for the complete tree-level S-matrix of N=8 supergravity recently conjectured by two of the authors. The proof proceeds by showing that the new formula satisfies the same BCFW recursion relations that ...
  • Group Momentum Space and Hopf Algebra Symmetries of Point Particles Coupled to 2+1 Gravity 
    Arzano, M.; Latini, D.; Lotito, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We present an in-depth investigation of the SL(2,R) momentum space describing point particles coupled to Einstein gravity in three space-time dimensions. We introduce different sets of coordinates on the group manifold and ...
  • 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 ...
  • 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 ...
  • Hyperkähler Manifolds of Curves in Twistor Spaces 
    Bielawski, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We discuss hypercomplex and hyperkähler structures obtained from higher degree curves in complex spaces fibring over P¹.
  • Induced Representations and Hypergroupoids 
    Renault, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We review various notions of correspondences for locally compact groupoids with Haar systems, in particular a recent definition due to R.D. Holkar. We give the construction of the representations induced by such a ...
  • Integrable Background Geometries 
    Calderbank, D.M.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    This work has its origins in an attempt to describe systematically the integrable geometries and gauge theories in dimensions one to four related to twistor theory. In each such dimension, there is a nondegenerate integrable ...
  • Integrable Boundary for Quad-Graph Systems: Three-Dimensional Boundary Consistency 
    Caudrelier, V.; Crampé, N.; Zhang, Q.C. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We propose the notion of integrable boundary in the context of discrete integrable systems on quad-graphs. The equation characterizing the boundary must satisfy a compatibility equation with the one characterizing the bulk ...
  • Integrable Systems Related to Deformed so(5) 
    Dobrogowska, A.; Odzijewicz, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We investigate a family of integrable Hamiltonian systems on Lie-Poisson spaces L+(5) dual to Lie algebras soλ,α(5) being two-parameter deformations of so(5). We integrate corresponding Hamiltonian equations on L+(5) and ...

Пошук


Розширений пошук

Перегляд

Мій обліковий запис