229 research outputs found
SUSY Particle Production at the Tevatron
The calculation of the next-to-leading order SUSY-QCD corrections to the
production of squarks, gluinos and gauginos at the Tevatron is reviewed. The
NLO corrections stabilize the theoretical predictions of the various production
cross sections significantly and lead to sizeable enhancements of the most
relevant cross sections for scales near the average mass of the produced
massive particles. We discuss the phenomenological consequences of the results
on present and future experimental analyses.Comment: 13 pages, latex, 9 figures, further extended versio
Set Estimation Under Biconvexity Restrictions
A set in the Euclidean plane is said to be biconvex if, for some angle
, all its sections along straight lines with inclination
angles and are convex sets (i.e, empty sets or
segments). Biconvexity is a natural notion with some useful applications in
optimization theory. It has also be independently used, under the name of
"rectilinear convexity", in computational geometry. We are concerned here with
the problem of asymptotically reconstructing (or estimating) a biconvex set
from a random sample of points drawn on . By analogy with the classical
convex case, one would like to define the "biconvex hull" of the sample points
as a natural estimator for . However, as previously pointed out by several
authors, the notion of "hull" for a given set (understood as the "minimal"
set including and having the required property) has no obvious, useful
translation to the biconvex case. This is in sharp contrast with the well-known
elementary definition of convex hull. Thus, we have selected the most commonly
accepted notion of "biconvex hull" (often called "rectilinear convex hull"): we
first provide additional motivations for this definition, proving some useful
relations with other convexity-related notions. Then, we prove some results
concerning the consistent approximation of a biconvex set and and the
corresponding biconvex hull. An analogous result is also provided for the
boundaries. A method to approximate, from a sample of points on , the
biconvexity angle is also given
Nature of singularity formed by the gravitational collapse in Husain space-time with electromagnetic field and scalar field
In this work, we have investigated the outcome of gravitational collapse in
Husain space-time in the presence of electro-magnetic and a scalar field with
potential. In order to study the nature of the singularity, global behavior of
radial null geodesics have been taken into account. The nature of singularities
formed has been thoroughly studied for all possible variations of the
parameters. These choices of parameters has been presented in tabular form in
various dimensions. It is seen that irrespective of whatever values of the
parameters chosen, the collapse always results in a naked singularity in all
dimensions. There is less possibility of formation of a black hole. Hence this
work is a significant counterexample of the cosmic censorship hypothesis.Comment: 9 pages, 19 figure
Morse index and causal continuity. A criterion for topology change in quantum gravity
Studies in 1+1 dimensions suggest that causally discontinuous topology
changing spacetimes are suppressed in quantum gravity. Borde and Sorkin have
conjectured that causal discontinuities are associated precisely with index 1
or n-1 Morse points in topology changing spacetimes built from Morse functions.
We establish a weaker form of this conjecture. Namely, if a Morse function f on
a compact cobordism has critical points of index 1 or n-1, then all the Morse
geometries associated with f are causally discontinuous, while if f has no
critical points of index 1 or n-1, then there exist associated Morse geometries
which are causally continuous.Comment: Latex, 20 pages, 3 figure
Dehn twists and free subgroups of symplectic mapping class groups
Given two Lagrangian spheres in an exact symplectic manifold, we find
conditions under which the Dehn twists about them generate a free non-abelian
subgroup of the symplectic mapping class group. This extends a result of Ishida
for Riemann surfaces. The proof generalises the categorical version of Seidel's
long exact sequence to arbitrary powers of a fixed Dehn twist. We also show
that the Milnor fibre of any isolated degenerate hypersurface singularity
contains such pairs of spheres.Comment: 37 pages, 9 figures; v2: corrected proof of Prop. 4.7, and other
minor changes following referee report; v3: minor changes only; accepted,
Journal of Topolog
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