The visible symmetries of the real potential space (f,ε,ψ,χ,κ) form a solvable Lie algebra, hidden symmetries act sectorially, and sectorial transformations applied to harmonic seeds produce charged and rotating branches in EMSF and frozen EMMSF theories.
(44) The Casimir is Cgrav =Q 2 D − QT QE =f 2(p2 f +p 2 ϵ) = ˙f2 + ˙ϵ2 4f2
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Potential Space Symmetries in Ernst-like Formulations of Einstein-Maxwell/ModMax-Scalar field Theories
The visible symmetries of the real potential space (f,ε,ψ,χ,κ) form a solvable Lie algebra, hidden symmetries act sectorially, and sectorial transformations applied to harmonic seeds produce charged and rotating branches in EMSF and frozen EMMSF theories.