Non-Supersymmetric Magic Theories and Ehlers Truncations

Abstract

We consider the non-supersymmetric "magic" theories based on the split quaternion and the split complex division algebras. We show that these theories arise as "Ehlers" $SL(2,\mathbb{R})$ and $SL(3,\mathbb{R})$ truncations of the maximal supergravity theory, exploiting techniques related to very-extended Kac-Moody algebras. We also generalise the procedure to other $SL(n,\mathbb{R})$ truncations, resulting in additional classes of non-supersymmetric theories, as well as to truncations of non-maximal theories. Finally, we discuss duality orbits of extremal black-hole solutions in some of these non-supersymmetric theories.

37 pages, 8 figures, minor corrections, refs. added. Version published on IJMPA

References in corpus (7)

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• E(11) and the Embedding Tensor
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• Kac-Moody Spectrum of (Half-)Maximal Supergravities
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Cited by in corpus (6)

• Real forms of embeddings of maximal reductive subalgebras of the complex simple Lie algebras of rank up to 8
• A Kind of Magic
• Black holes and general Freudenthal transformations
• Orbits in Non-Supersymmetric Magic Theories
• BPS Black Hole Entropy and Attractors in Very Special Geometry. Cubic Forms, Gradient Maps and their Inversion
• Jordan Algebraic Interpretation of Maximal Parabolic Subalgebras : Exceptional Lie Algebras