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- W2017351687 abstract "LetE be a manifold on which a compact Lie groupS acts simply (all orbits of the same type);E can be written locally asM×S/I,M being the manifold of orbits (space-time) andI a typical isotropy group for theS action. We study the geometrical structure given by anS-invariant metric and anS-invariant Yang Mills field onE with gauge groupR. We show that there is a one to one correspondence between such structures and quadruplets of fields defined solely onM; γμv is a metric onM,h αβ are scalar fields characterizing the geometry of the orbits (internal spaces), Φ α i are other scalar fields (Higgs fields) characterizing theS invariance of the Lie(R)-valued Yang Mills field and is a Yang Mills field for the gauge groupN(I)|I×Z(λ(I)),N(I) being the normalizer ofI inS, λ is a homomorphism ofI intoR associated to theS action, andZ(λ(I)) is the centralizer ofλ(I) inR. We express the Einstein-Yang-Mills Lagrangian ofE in terms of the component fields onM. Examples and model building recipes are given." @default.
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- W2017351687 date "1985-03-01" @default.
- W2017351687 modified "2023-09-25" @default.
- W2017351687 title "Symmetries of Einstein-Yang-Mills fields and dimensional reduction" @default.
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- W2017351687 doi "https://doi.org/10.1007/bf01211045" @default.
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