Gauge Theories with Fuzzy Extra Dimensions and Noncommutative Vortices and Fluxons
5th International Workshop on Decoherence, Information, Complexity and Entropy (DICE) - Space-Time-Matter - Current Issues in Quantum Mechanics and Beyond, Tuscany, Italy, 13 - 17 September 2010, vol.306, (Full Text)
- Publication Type: Conference Paper / Full Text
- Volume: 306
- Doi Number: 10.1088/1742-6596/306/1/012051
- City: Tuscany
- Country: Italy
- Open Archive Collection: AVESIS Open Access Collection
- Middle East Technical University Affiliated: Yes
Abstract
A U(2) Yang-Mills theory on the space M x S-F(2) is considered, where it is assumed that M is an arbitrary noncommutative space and S-F(2) is a fuzzy sphere spontaneously generated from a noncommutative U(N) Yang-Mills theory on M coupled to a triplet of scalars in the adjoint of U(N). SU(2)-equivariant reduction of this theory leads to a noncommutative U(1) gauge theory coupled adjointly to a set of scalar fields. The emergent model is studied on the Groenewald-Moyal plane R-theta(2) and it is found that, in certain limits, it admits noncommutative, non-BPS vortex as well as fluxon solutions.