Coset space dimensional reduction of Yang-Mills theory on non-compact symmetric spaces - INSPIRE

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Coset space dimensional reduction of Yang-Mills theory on non-compact symmetric spaces

Mahir Ertürk
(
- Hannover U.
)
,
Gabriel Picanço Costa
(
- Hannover U.
)

Apr 26, 2023

15 pages

e-Print:

2304.13645 [hep-th]

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ADS Abstract Service

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Abstract: (arXiv)

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.

Note:

15 pages, 3 figures

gauge field theory: Yang-Mills
coset space
dimensional reduction
space-time
cylinder
noncompact
foliation
field equations
general relativity
anti-de Sitter

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