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Dualities Near the Horizon | | Sergio Ferrara
; Alessio Marrani
; Emanuele Orazi
; Mario Trigiante
; | | Date: |
9 May 2013 | | Abstract: | In 4-dimensional supergravity theories, covariant under symplectic
electric-magnetic duality rotations, a significant role is played by the
symplectic matrix M({phi}), related to the coupling of scalars {phi} to
vector field-strengths. In particular, this matrix enters the twisted
self-duality condition for 2-form field strengths in the symplectic formulation
of generalized Maxwell equations in presence of scalar fields. In this
investigation, we compute several properties of this matrix in relation to the
attractor mechanism of extremal (asymptotically flat) black holes. At the
attractor points with no flat directions (as in the N = 2 BPS case), this
matrix enjoys a universal form in terms of the dyonic charge vector Q and the
invariants of the corresponding symplectic representation RQ of the duality
group G, whenever the scalar manifold is a symmetric space with G simple. At
attractors with flat directions, M still depends on flat directions, but not
MQ, defining the so-called Freudenthal dual of Q itself. This allows for a
universal expression of the symplectic vector field strengths in terms of Q, in
the near-horizon Bertotti-Robinson black hole geometry. | | Source: | arXiv, 1305.2057 | | Services: | Forum | Review | PDF | Favorites | |
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