Symmetry in Nonlinear Mathematical Physics - 2009
George Zoupanos (National Technical University of Athens, Greece)
New challenges in Unified theories
First I plan to present a short overview on various possibilities to
reduce the independent parameters in Unified theories. These include
higher dimensional theories where the extra dimensions are continuous but
also fuzzy coset spaces.
Then emphasis will be given on the Finite Unified Theories.
Finite Unified Theories (FUTs) are N = 1 supersymmetric Grand Unified
Theories, which can be made all-loop finite, both in the dimensionless
(gauge and Yukawa couplings) and dimensionful (soft supersymmetry breaking
terms) sectors. This remarkable property, based on the reduction of
couplings at the quantum level, provides a drastic reduction in the number
of free parameters, which in turn leads to an accurate prediction of the
top quark mass in the dimensionless sector, and predictions for the Higgs
boson mass and the supersymmetric spectrum in the dimensionful sector.