We consider the nonsupersymmetric "magic" theories based on the split quaternion and the split complex division algebras. We show that these theories arise as "Ehlers" SL(2;R) and SL(3;R) truncations of the maximal supergravity theory, exploiting tech- niques related to the very-extended Kac{Moody algebras. We also generalize the proce- dure to other SL(n;R) truncations, resulting in additional classes of nonsupersymmetric theories, as well as to truncations of nonmaximal theories. Finally, we discuss duality orbits of extremal black hole solutions in some of these nonsupersymmetric theories.
Marrani, A., Pradisi, G., Riccioni, F., Romano, L. (2017). Nonsupersymmetric magic theories and Ehlers truncations. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 32(19n20), 1750120 [10.1142/S0217751X17501202].
Nonsupersymmetric magic theories and Ehlers truncations
Pradisi, Gianfranco
;
2017-07-12
Abstract
We consider the nonsupersymmetric "magic" theories based on the split quaternion and the split complex division algebras. We show that these theories arise as "Ehlers" SL(2;R) and SL(3;R) truncations of the maximal supergravity theory, exploiting tech- niques related to the very-extended Kac{Moody algebras. We also generalize the proce- dure to other SL(n;R) truncations, resulting in additional classes of nonsupersymmetric theories, as well as to truncations of nonmaximal theories. Finally, we discuss duality orbits of extremal black hole solutions in some of these nonsupersymmetric theories.| File | Dimensione | Formato | |
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