Zobrazeno 1 - 10
of 56
pro vyhledávání: '"Buric, Maja"'
We study a scalar field on a noncommutative model of spacetime, the fuzzy de Sitter space, which is based on the algebra of the de Sitter group $SO(1,d)$ and its unitary irreducible representations. We solve the Klein-Gordon equation in $d=2,4$ and s
Externí odkaz:
http://arxiv.org/abs/2403.10634
Autor:
Buric, Ilija, Buric, Maja
We introduce a model of a noncommutative BTZ black hole, obtained by quantisation of Poincar\'e coordinates together with a moving frame. The fuzzy BTZ black hole carries a covariant differential calculus, satisfies Einstein's equations and has a con
Externí odkaz:
http://arxiv.org/abs/2204.03673
We study details of geometry of noncommutative de Sitter space: we determine the Riemann and Ricci curvature tensors, the energy and the Laplacian. We find, in particular, that fuzzy de Sitter space is an Einstein space, $R_{ab}=-3\zeta\,\eta_{ab}$.
Externí odkaz:
http://arxiv.org/abs/2111.07391
Autor:
Buric, Maja, Latas, Dusko
Publikováno v:
Phys. Rev. D 100, 024053 (2019)
We analyze the spectrum of time observable in noncommutative cosmological model introduced in [5], defined by $(\rho, s=\frac 12)\,$ representation of the de Sitter group. We find that time has peculiar property: it is not self-adjoint, but appropria
Externí odkaz:
http://arxiv.org/abs/1903.08378
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We discuss properties of fuzzy de Sitter space defined by means of algebra of the de Sitter group $\mathrm{SO}(1,4)$ in unitary irreducible representations. It was shown before that this fuzzy space has local frames with metrics that reduce, in the c
Externí odkaz:
http://arxiv.org/abs/1709.05158
We calculate divergent one-loop corrections to the propagators of the U(1) gauge theory on the truncated Heisenberg space, which is one of the extensions of the Grosse-Wulkenhaar model. The model is purely geometric, based on the Yang-Mills action; t
Externí odkaz:
http://arxiv.org/abs/1610.01429
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