Abstract
With reference to the effective three-dimensional description of stationary, single center solutions to (ungauged) symmetric supergravities, we complete a previous analysis on the definition of a general geometrical mechanism for connecting global symmetry orbits (duality orbits) of non-extremal solutions to those of extremal black holes. We focus our attention on a generic representative of these orbits, providing its explicit description in terms of D = 4 fields. As a byproduct, using a new characterization of the angular momentum in terms of quantities intrinsic to the geometry of the D = 3 effective model, we are able to prove on general grounds its invariance, as a function of the boundary data, under the D = 4 global symmetry. In the extremal under-rotating limit it becomes moduli-independent. We also discuss the issue of the fifth parameter characterizing the four-dimensional seed solution, showing that it can be generated by a transformation in the global symmetry group which is manifest in the D = 3 effective description.
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Andrianopoli, L., Gallerati, A. & Trigiante, M. On extremal limits and duality orbits of stationary black holes. J. High Energ. Phys. 2014, 53 (2014). https://doi.org/10.1007/JHEP01(2014)053
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DOI: https://doi.org/10.1007/JHEP01(2014)053