14,367 research outputs found
Exterior differential systems, Lie algebra cohomology, and the rigidity of homogenous varieties
These are expository notes from the 2008 Srni Winter School. They have two
purposes: (1) to give a quick introduction to exterior differential systems
(EDS), which is a collection of techniques for determining local existence to
systems of partial differential equations, and (2) to give an exposition of
recent work (joint with C. Robles) on the study of the Fubini-Griffiths-Harris
rigidity of rational homogeneous varieties, which also involves an advance in
the EDS technology.Comment: To appear in the proceedings of the 2008 Srni Winter School on
Geometry and Physic
Collider Searches for Extra Dimensions
Searches for extra spatial dimensions remain among the most popular new
directions in our quest for physics beyond the Standard Model. High-energy
collider experiments of the current decade should be able to find an ultimate
answer to the question of their existence in a variety of models. Until the
start of the LHC in a few years, the Tevatron will remain the key player in
this quest. In this paper, we review the most recent results from the Tevatron
on searches for large, 1/TeV-size, and Randall-Sundrum extra spatial
dimensions, which have reached a new level of sensitivity and currently probe
the parameter space beyond the existing constraints. While no evidence for the
existence of extra dimensions has been found so far, an exciting discovery
might be just steps away.Comment: To appear in Proceedings of SLAC Summer Institute, 2004. An extended
version of the talk given on behalf of the CDF and D0 Collaboration
Searches for Extra Spatial Dimensions with the CMS Detector at the LHC
The success of the first three years of operations of the LHC at
center-of-mass energies of 7 and 8 TeV radically changed the landscape of
searches for new physics beyond the standard model and our very way of thinking
about its possible origin and its hiding place. Among the paradigms of new
physics that have been probed quite extensively at the LHC, are various models
that predict the existence of extra spatial dimensions. In this review, the
current status of searches for extra dimensions with the CMS detector is
presented, along with prospects for future searches at the full energy of the
LHC, expected to be reached in the next few years.Comment: Invited review on behalf of the CMS Collaboration in a special issue
of Modern Physics Letters A on models with extra spatial dimension
Collider Searches for Extra Spatial Dimensions and Black Holes
Searches for extra spatial dimensions remain among the most popular new
directions in our quest for physics beyond the Standard Model. High-energy
collider experiments of the current decade should be able to find an ultimate
answer to the question of their existence in a variety of models. We review
these models and recent results from the Tevatron on searches for large,
inverse-TeV-size, and Randall-Sundrum extra spatial dimensions. The most
dramatic consequence of low-scale (~1 TeV) quantum gravity is copious
production of mini-black holes at the LHC. We discuss selected topics in the
mini-black-hole phenomenology.Comment: Invited talk given at the 13th Lomonosov International Conference on
Elementary Particle Physics, Moscow, Russia, August 23-29, 200
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