Gauge theory of the Maxwell and semi-simple extended (anti) de Sitter algebra
| Autor: | Salih Kibaroğlu, Oktay Cebecioğlu |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Physics
High Energy Physics - Theory FOS: Physical sciences Astronomy and Astrophysics General Relativity and Quantum Cosmology (gr-qc) Cosmological constant Extension (predicate logic) General Relativity and Quantum Cosmology Algebra High Energy Physics - Theory (hep-th) Space and Planetary Science De Sitter universe Simple (abstract algebra) Lie algebra Gauge theory Anti-de Sitter space Algebra over a field Mathematical Physics |
| Popis: | In this paper, a semi-simple and Maxwell extension of the (anti) de Sitter algebra is constructed. Then, a gauge-invariant model has been presented by gauging the Maxwell semi-simple extension of the (anti) de Sitter algebra. We firstly construct a Stelle-West like model action for five-dimensional space-time in which the effects of spontaneous symmetry breaking have been taken into account. In doing so, we get an extended version of Einstein's field equations. Next, we decompose the five-dimensional extended Lie algebra and establish a MacDowell-Mansouri like action that contains the Einstein-Hilbert term, the cosmological term as well as new terms coming from Maxwell extension in four-dimensional space-time where the torsion-free condition is assumed. Finally, we have shown that both models are equivalent for an appropriately chosen gauge condition. 8 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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