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Equivariant Reduction of Gauge Theories over Fuzzy Extra Dimensions
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Date
2012-2-8
Author
Kürkcüoğlu, Seçkin
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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.
URI
https://hdl.handle.net/11511/28606
Journal
Journal of Physics: Conference Series
DOI
https://doi.org/10.1088/1742-6596/343/1/012062
Collections
Department of Physics, Article
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S. Kürkcüoğlu, “Equivariant Reduction of Gauge Theories over Fuzzy Extra Dimensions,”
Journal of Physics: Conference Series
, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/28606.