Abstract
Black-hole solutions of supergravity theories form families that realize the deep nonlinear “duality” symmetries of these theories. They form orbits under the action of these symmetry groups, with extremal (i.e., BPS) solutions at the limits of such orbits. An important technique for analyzing such solution families uses timelike dimensional reduction and exchanges the stationary black-hole problem for a nonlinear sigma-model problem. We characterize families of extremal or BPS solutions by nilpotent orbits under the duality symmetries, based on a trigraded or pentagraded decomposition of the corresponding duality-group algebra.
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Dedicated to Andrei Slavnov in honor of his 75th birthday
Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 182, No. 1, pp. 158–170, January, 2014.
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Stelle, K.S. Symmetry orbits of supergravity black holes. Theor Math Phys 182, 130–140 (2015). https://doi.org/10.1007/s11232-015-0251-9
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DOI: https://doi.org/10.1007/s11232-015-0251-9