HIGH ENERGY THEORY / RELATIVITY / COSMOLOGY SEMINARS
Fall 2011
Friday 9th September Seminar at 2:30pm :
Seckin Kurkcuoglu (Middle East Technical University, Turkey)
Title : Equivariant Reduction of Gauge Theories over Fuzzy Extra Dimensions
Abstract:
In a certain Yang-Mills theory coupled to a suitable set of scalar fields, fuzzy sphere may be generated as exstra dimensions by spontaneous symmetry breaking. In this talk, SU(2)- equivariant parametrization of U(2) gauge fields in this theory will be exhibited and its dimensional reduction over the fuzzy sphere will be presented. The emerging dimensionally reduced theories are Higgs type models. We will show that, these models admit non-BPS vortex solutions on R^2 and noncommutative vortex and fluxon solutions on the Groenewald-Moyal plane and discuss some of their properties. We will also examine the construction of SU(2) x SU(2)-equivariant U(4) gauge fields over the product of two fuzzy spheres and outline some of its consequences. |
Host : AP Balachandran