Equivariant Reduction of Gauge Theories over Fuzzy Extra Dimensions
7th International Conference on Quantum Theory and Symmetries (QTS), Prague, Çek Cumhuriyeti, 7 - 13 Ağustos 2011, cilt.343, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 343
- Doi Numarası: 10.1088/1742-6596/343/1/012062
- Basıldığı Şehir: Prague
- Basıldığı Ülke: Çek Cumhuriyeti
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
In SU(N) Yang-Mills theories on a manifold M, which are suitably coupled to a set of scalars, fuzzy spheres may be generated as extra dimensions by spontaneous symmetry breaking. This process results in gauge theories over the product space of the manifold M and the fuzzy spheres with smaller gauge groups. Here we present the SU(2)- and SU(2) x SU(2)-equivariant parametrization of U(2) and U(4) gauge fields on S-F(2), and S-F(2), x S-F(2), respectively and outline the dimensional reduction of these theories over the fuzzy extra dimensions. The emerging dimensionally reduced theories are Higgs type models. Some vortex type solutions of these theories are briefly discussed.