Orbits in Non-Supersymmetric Magic Theories

Abstract

We determine and classify the electric-magnetic duality orbits of fluxes supporting asymptotically flat, extremal black branes in $D=4,5,6$ space-time dimensions in the so-called non-supersymmetric magic Maxwell-Einstein theories, which are consistent truncations of maximal supergravity and which can be related to Jordan algebras (and related Freudenthal triple systems) over the split complex numbers ${\mathbb{C}}_s$ and the split quaternions ${\mathbb{H}}_s$. By studying the stabilizing subalgebras of suitable representatives, realized as bound states of specific weight vectors of the corresponding representation of the electric-magnetic duality symmetry group, we obtain that, as for the case of maximal supergravity, in magic non-supersymmetric Maxwell-Einstein theories there is no splitting of orbits, namely there is only one orbit for each non-maximal rank element of the relevant Jordan algebra (in $D=5$ and $6$) or of the relevant Freudenthal triple system (in $D=4$).

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Cited by in corpus (3)

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• Exceptional Periodicity and Magic Star Algebras. I : Foundations
• BPS Black Hole Entropy and Attractors in Very Special Geometry. Cubic Forms, Gradient Maps and their Inversion