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.
Integrable Systems in Stringy Gravity
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abstract
Static axisymmetric Einstein-Maxwell-Dilaton and stationary axisymmetric Einstein-Maxwell-Dilaton-Axion (EMDA) theories in four space-time dimensions are shown to be integrable by means of the inverse scattering transform method. The proof is based on the coset-space representation of the 4-dim theory in a space-time admitting a Killing vector field. Hidden symmetry group of the four-dimensional EMDA theory, unifying T and S string dualities, is shown to be Sp(2, R) acting transitively on the coset Sp(2, R)/U(2). In the case of two-parameter Abelian space-time isometry group, the hidden symmetry is the corresponding infinite-dimensional group of the Geroch-Kinnersley-Chitre type.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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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.