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Coset space dimensional reduction of Yang-Mills theory on non-compact symmetric spaces
- Publication Year :
- 2023
-
Abstract
- In this work, we analyze the coset space dimensional reduction scheme to construct pure Yang--Mills fields on maximally symmetric spacetimes given as cylinders over cosets. Particular cases of foliations using $H^n$, dS$_n$ and AdS$_n$ slices as non-compact symmetric spaces are solved, compared to previous results in the literature, and generalized in a structured fashion. Coupling to General Relativity in FLRW-type universes is introduced via the cosmological scale factor. For the hyperbolic slicing, the dynamics of the Einstein--Yang--Mills system is analytically solved and discussed. Finally, we generalize the analysis to warped foliations of the cylinders, which enlarge the range of possible spacetimes while also introducing a Hubble friction-like term in the equation of motion for the Yang--Mills field.<br />Comment: 1+14 pages, 3 figures
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2304.13645
- Document Type :
- Working Paper