22 research outputs found
Ternary algebras and groups
We construct explicitly groups associated to specific ternary algebras which
extend the Lie (super)algebras (called Lie algebras of order three). It turns
out that the natural variables which appear in this construction are variables
which generate the three-exterior algebra. An explicit matrix representation of
a group associated to a peculiar Lie algebra of order three is constructed
considering matrices with entry which belong to the three exterior algebra.Comment: 11 pages contribution to the 5th International Symposium on Quantum
Theory and Symmetries (QTS5
Some Results on Cubic and Higher Order Extensions of the Poincar\'e Algebra
In these lectures we study some possible higher order (of degree greater than
two) extensions of the Poincar\'e algebra. We first give some general
properties of Lie superalgebras with some emphasis on the supersymmetric
extension of the Poincar\'e algebra or Supersymmetry. Some general features on
the so-called Wess-Zumino model (the simplest field theory invariant under
Supersymmetry) are then given. We further introduce an additional algebraic
structure called Lie algebras of order F, which naturally comprise the concepts
of ordinary Lie algebras and superalgebras. This structure enables us to define
various non-trivial extensions of the Poincar\'e algebra. These extensions are
studied more precisely in two different contexts. The first algebra we are
considering is shown to be an (infinite dimensional) higher order extension of
the Poincar\'e algebra in dimensions and turns out to induce a symmetry
which connects relativistic anyons. The second extension we are studying is
related to a specific finite dimensional Lie algebra of order three, which is a
cubic extension of the Poincar\'e algebra in space-time dimensions.
Invariant Lagrangians are constructed.Comment: Mini course given at the Workshop higher symmetries in physics,
Madrid, Spain, November 6-8, 200
Les Houches 2011: Physics at TeV Colliders New Physics Working Group Report
We present the activities of the "New Physics" working group for the "Physics
at TeV Colliders" workshop (Les Houches, France, 30 May-17 June, 2011). Our
report includes new agreements on formats for interfaces between computational
tools, new tool developments, important signatures for searches at the LHC,
recommendations for presentation of LHC search results, as well as additional
phenomenological studies.Comment: 243 pages, report of the Les Houches 2011 New Physics Group; fix
three figure
Higgs Physics at LEP2
In this report we review the prospects for Higgs physics at LEP2. The
theoretical aspects and the phenomenology of Higgs particles are discussed
within the Standard Model (SM) and the Minimal Supersymmetric Standard Model
(MSSM). The experimental search techniques are described and the discovery
limits for Higgs bosons in the LEP2 energy range are summarized. In addition,
opportunities of detecting Higgs particles in non-minimal extensions of the SM
and the MSSM are investigated.Comment: 112 pages, latex file + figures (some bitmapped), to appear in Vol.
1, Report of the Workshop on Physics at LEP2, G. Altarelli, T. Sjostrand and
F.Zwirner (eds), CERN 96-01. (Full postscript and uuencoded files, including
full resolution figures are available at the www address
http://surya11.cern.ch/surya_info/users/mcarena in finrep.ps, finrep.uu