4 research outputs found
Fuzzy de Sitter Space
We discuss properties of fuzzy de Sitter space defined by means of algebra of
the de Sitter group in unitary irreducible representations.
It was shown before that this fuzzy space has local frames with metrics that
reduce, in the commutative limit, to the de Sitter metric. Here we determine
spectra of the embedding coordinates for unitary
irreducible representations of the principal continuous series of the
. The result is obtained in the Hilbert space representation,
but using representation theory it can be generalized to all representations of
the principal continuous series.Comment: 22 pp, calculation and results correcte
Renormalizability of noncommutative SU(N) gauge theory
We analyze the renormalizability properties of pure gauge noncommutative
SU(N) theory in the -expanded approach. We find that the theory is
one-loop renormalizable to first order in .Comment: 11 pages, minor changes, accepted for publication in JHE