6,088 research outputs found
Metastable Vacua in Warped Throats at Non-Isolated Singularities
We study the existence of metastable vacua in cascades based on fractional
brane configurations at non-isolated singularities preserving N = 1
supersymmetry. We find that in a large class of models the extra moduli
typically generated along such cascades may be stabilized by utilizing special
monopole points found recently. We illustrate this in detail for cascades based
on the SPP singularity. The supergravity interpretation of these constructions
in terms of warped throats with supersymmetry breaking localized near their
tips as well as applications to string compactification is discussed. Our
constructions are designed to realize a large class of warped throats with
supersymmetry breaking localized inside of a highly curved tip region.Comment: 18 pages, added clarifications, published version; 1 figur
On a Hierarchy of Means
For a class of partially ordered means we introduce a notion of the
(nontrivial) cancelling mean. A simple method is given which helps to determine
cancelling means for well known classes of Holder and Stolarsky means
On some intermediate mean values
We give a necessary and sufficient mean condition for the quotient of two
Jensen functionals and define a new class of mean values
where are continuously differentiable convex functions satisfying the
relation . Then we asked for a characterization
of such that the inequalities or hold for each positive , where are the harmonic, arithmetic, logarithmic and identric
means, respectively. For a subclass of with ,
this problem is thoroughly solved
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