Nilpotent orbits in real symmetric pairs and stationary black holes

Heiko Dietrich, Willem A. de Graaf, Daniele Ruggeri, Mario Trigiante

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In the study of stationary solutions in extended supergravities with symmetric scalar manifolds, the nilpotent orbits of a real symmetric pair play an important role. In this paper we discuss two approaches to determine the nilpotent orbits of a real symmetric pair. We apply our methods to an explicit example, and thereby classify the nilpotent orbits of (SL2(R))4 acting on the fourth tensor power of the natural 2-dimensional SL2(R)-module. This makes it possible to classify all stationary solutions of the so-called STU-supergravity model.

Original languageEnglish
Article number1600118
Number of pages25
JournalFortschritte der Physik
Issue number2
Publication statusPublished - 1 Feb 2017


  • black hole
  • real nilpotent orbits
  • supergravity

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