78,942 research outputs found
Supersymmetry at the Linear Collider
If supersymmetry (SUSY) is realized at the electroweak scale, its underlying
structure and breaking mechanism may be explored with great precision by a
future linear collider (LC) with a clean environment, tunable
collision energy, high luminosity polarized beams, and additional ,
and modes. In this report we summarize four papers
submitted to the ICHEP04 conference about the precise measurements of the top
squark parameters and , the impacts of the CP phases on the search
for top/bottom squarks, the Majorana nature and CP violation in the neutralino
system, the implications of the SUSY dark matter scenario for the LC
experiments, and the characteristics of the neutralino sector of the
next--to--minimal supersymmetric standard model at the LCComment: 5 pages, 3 figures, contribution to the proceedings of the 32nd
International Conference on High-Energy Physics (ICHEP 04), Beijing, China,
16-22 Aug 200
The definability criterions for convex projective polyhedral reflection groups
Following Vinberg, we find the criterions for a subgroup generated by
reflections \Gamma \subset \SL^{\pm}(n+1,\mathbb{R}) and its finite-index
subgroups to be definable over where is an integrally
closed Noetherian ring in the field . We apply the criterions for
groups generated by reflections that act cocompactly on irreducible properly
convex open subdomains of the -dimensional projective sphere. This gives a
method for constructing injective group homomorphisms from such Coxeter groups
to \SL^{\pm}(n+1,\mathbb{Z}). Finally we provide some examples of
\SL^{\pm}(n+1,\mathbb{Z})-representations of such Coxeter groups. In
particular, we consider simplicial reflection groups that are isomorphic to
hyperbolic simplicial groups and classify all the conjugacy classes of the
reflection subgroups in \SL^{\pm}(n+1,\mathbb{R}) that are definable over
. These were known by Goldman, Benoist, and so on previously.Comment: 31 pages, 8 figure
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