[PDF] Top 20 sigma10-058. 414KB Jun 04 2011 12:10:41 AM

... In this article we review a novel realisation of the fuzzy 2-sphere involving bifundamental matrices. The objects that crucially enter the construction are discrete versions of Killing spinors on the sphere [9, ... Lihat dokumen lengkap

... [9, 10, 11]. We mention, among others, C, P , and T invariance [12], axial anomaly [13], noncommutative QED [14], supersymmetry [15], renormalization and the mixing of infrared and ultraviolet divergences ... Lihat dokumen lengkap

... A natural possibility to describe NC gravity is to employ a NC metric field [6, 7, 8], but there are also other well motivated approaches based on hermitian metrics [9, 10] or gauge formulations with or without ... Lihat dokumen lengkap

... Key words: noncommutative spaces; Galilean symmetry; dynamical systems; quantum field theory 2010 Mathematics Subject Classification: 46L55; 37K65; 37L20; 83C65; 81T70 1 Introduction: [r] ... Lihat dokumen lengkap

... Indeed by 2.7, which holds also in the non-complete case, we can compute dD as supremum over continuous functions instead of smooth ones; in the computation of the spectral distance on N[r] ... Lihat dokumen lengkap

... Key words: operator theory; functional analysis; non-commutative geometry 2010 Mathematics Subject Classification: 46L99; 47B25; 81R60 1 Introduction The main technical and computatio[r] ... Lihat dokumen lengkap

... bidifferential calculus framework, a “reciprocal” [3] or “negative” extension of the hierarchy naturally appears. “Negative flows” have been considered previously via negative powers of a recursion operator (see e.g. [4, ... Lihat dokumen lengkap

... Theory of the so-called PT -symmetric Hamiltonians has been a very active research area in recent years [1, 2, 3, 5, 7, 8, 9, 10, 13]. While they are not self-adjoint in general, many PT - symmetric Hamiltonians ... Lihat dokumen lengkap

... B¨ acklund transformations are a prominent tool in the theory of integrable systems and soliton theory. Historically they appeared first in the works of Bianchi [1] and B¨ acklund [2] on surfaces of constant curvature ... Lihat dokumen lengkap

... Abel–Jacobi map, Jacobi inversion modified Kerov–Kirillov–Reshetikhin bijection Riemann theta function charge of extended rigged configuration Here the Kerov–Kirillov–Reshetikhin KKR b[r] ... Lihat dokumen lengkap

... Cluster algebras [9] are another form of discrete dynamical systems. They describe a specific type of evolution, called mutation, of a set of variables or cluster seed. Mutations are rational, subtraction-free ... Lihat dokumen lengkap

... Incorporation of NC geometry into the field theory framework can be naturally achieved using the Dirac method for analysis the constrained theories: NC geometry arises due to the Dirac bracket, after taking into account ... Lihat dokumen lengkap

... Using thisZ-algebra we describe Hermitian irreducible representations of a discrete series for the noncompact quantum algebraUqun,1 which is a real form of Uqgln+ 1, namely, an orthono[r] ... Lihat dokumen lengkap

... The mechanical analogue system of field theoretical models with N scalar fields has N degrees of freedom and the system of N motion ODE’s is rarely integrable. One may analytically find the solitary waves in field ... Lihat dokumen lengkap

... In this paper we present the bi-Hamiltonian formulation and recursion operator for the new equation. These results have been obtained during the study of the so called supersymmetric Manin–Radul hierarchy. The ... Lihat dokumen lengkap

... [30, 25, 10, 29] and is compounded of principal, complementary, and discrete series. Note that the de Sitter group has no unitary irreducible representation (UIR) analogous to the so-called “massless infinite ... Lihat dokumen lengkap

... From the first equations of (12) we get by integration a precise determination of a j up to multiplication by a function of u j ; thus the a j part of the solution depends on at most n functions of one variable ... Lihat dokumen lengkap

... where we assume r, s ∈ N , r + s odd, and ω 1 , ω 2 > 0. This type of Hamiltonians, which represent a natural generalization of the quantum Henon–Heiles model, has been studied also in [11, 12]. We will analyze ... Lihat dokumen lengkap

... Vadim Kuznetsov, to whom this work is dedicated, widely studied Gaudin models, especially from the point of view of their separability properties [11, 12, 13] and of their integrable dis- cretizations through B¨ ... Lihat dokumen lengkap

... The nine-dimensional bound is sharp: normal forms for the contact-equivalence classes of these maximally symmetric generic hyperbolic equations are derived and explicit symmetry algebras[r] ... Lihat dokumen lengkap