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On Extremal Limits and Duality Orbits of Stationary Black Holes | | Laura Andrianopoli
; Antonio Gallerati
; Mario Trigiante
; | | Date: |
29 Oct 2013 | | 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 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. | | Source: | arXiv, 1310.7886 | | Services: | Forum | Review | PDF | Favorites | |
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