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BLACK HOLE ORBITS IN SUPERGRAVITY // Tomsk State Pedagogical University Bulletin. 2014. Issue 12 (153). P. 232-237

Duality symmetries are used to organise symmetry orbits of supergravity black-hole solutions and to display their relation to extremal (i.e. BPS) solutions at the limits of such orbits. An important technique for this analysis uses a timelike dimensional reduction and exchanges the stationary black-hole problem for a nonlinear sigma-model problem. Families of BPS solutions are characterized by nilpotent orbits under the duality symmetries, based upon a tri-graded or penta-graded decomposition of the corresponding duality group algebra.

Keywords: supergravity, black-holes, duality symmetries, sigma-model