Zobrazeno 1 - 10
of 77
pro vyhledávání: '"Madore, John"'
Autor:
Buric, Maja, Madore, John
Several versions of fuzzy four-dimensional de Sitter space are constructed using the noncommutative frame formalism. Although all noncommutative spacetimes which are found have commutative de Sitter metric as a classical limit, the algebras and the d
Externí odkaz:
http://arxiv.org/abs/1508.06058
We analyse the spinor action on a curved noncommutative space, the so-called truncated Heisenberg algebra, and in particular, the nonminimal coupling of spinors to the torsion. We find that dimensional reduction of the Dirac action gives the noncommu
Externí odkaz:
http://arxiv.org/abs/1502.00761
Autor:
Buric, Maja, Madore, John
Two families of noncommutative extensions are given of a general space-time metric with spherical symmetry, both based on the matrix truncation of the functions on the sphere of symmetry. The first family uses the truncation to foliate space as an in
Externí odkaz:
http://arxiv.org/abs/1401.3652
Autor:
Buric, Maja, Madore, John
A version of noncommutative geometry is proposed which is based on phase-space rather than position space. The momenta encode the information contained in the algebra of forms by a map which is the noncommutative extension of the duality between the
Externí odkaz:
http://arxiv.org/abs/1110.0592
Publikováno v:
JHEP 1007:010,2010
It was shown recently that the lagrangian of the Grosse-Wulkenhaar model can be written as lagrangian of the scalar field propagating in a curved noncommutative space. In this interpretation, renormalizability of the model is related to the interacti
Externí odkaz:
http://arxiv.org/abs/1003.2284
Autor:
Buric, Maja, Madore, John
Publikováno v:
Eur.Phys.J.C58:347-353,2008
In order to find a noncommutative analog of Schwarzschild or Schhwarzschild-de Sitter blackhole we investigate spherically symmetric spaces generated by four noncommutative coordinates in the frame formalism. We present two solutions which however do
Externí odkaz:
http://arxiv.org/abs/0807.0960
Publikováno v:
SIGMA 3:125,2007
We consider the quasi-commutative approximation to a noncommutative geometry defined as a generalization of the moving frame formalism. The relation which exists between noncommutativity and geometry is used to study the properties of the high-freque
Externí odkaz:
http://arxiv.org/abs/0712.4024
We consider gauge theories defined in higher dimensions where the extra dimensions form a fuzzy space (a finite matrix manifold). We reinterpret these gauge theories as four-dimensional theories with Kaluza-Klein modes. We then perform a generalized
Externí odkaz:
http://arxiv.org/abs/hep-th/0503039
Autor:
Deruelle, Nathalie, Madore, John
We review some properties of the Einstein-"Gauss-Bonnet" equations for gravity--also called the Einstein-Lanczos equations in five and six dimensions, and the Lovelock equations in higher dimensions. We illustrate, by means of simple Kaluza-Klein and
Externí odkaz:
http://arxiv.org/abs/gr-qc/0305004
Publikováno v:
Int.J.Mod.Phys.A17:2095,2002
We present a series of instanton-like solutions to a matrix model which satisfy a self-duality condition and possess an action whose value is, to within a fixed constant factor, an integer l^2. For small values of the dimension n^2 of the matrix alge
Externí odkaz:
http://arxiv.org/abs/hep-th/0107068