1,416 research outputs found
Effects of Matrix Orientifolding to Two-Loop Effective Action of Bosonic IIB Matrix Model
We study the spacetime structures which are described by the IIB matrix model
with orientifolding. Matrix orientifolding that preserves supersymmetries
yields the mirror image point with respect to a four-dimensional plane for each
spacetime point that corresponds to the eigenvalue of the bosonic matrix. In
order to consider the upper bound on the distance between two eigenvalues in
this model, we calculate the effective action for the eigenvalues up to
two-loop. The eigenvalues distribute in a tubular region around the
four-dimensional plane.Comment: 16 pages, 3 figure
Classification of actions of discrete Kac algebras on injective factors
We will study two kinds of actions of a discrete amenable Kac algebra. The
first one is an action whose modular part is normal. We will construct a new
invariant which generalizes a characteristic invariant for a discrete group
action, and we will present a complete classification. The second is a
centrally free action. By constructing a Rohlin tower in an asymptotic
centralizer, we will show that the Connes-Takesaki module is a complete
invariant.Comment: 120 pages. Minor correction
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