On Black Hole Effective Potential in 6D/7D N=2 Supergravity

Details On Black Hole Effective Potential in 6D/7D N=2 Supergravity On Black Hole Effective Potential in 6D/7D N=2 Supergravity

2008-03-06

arxiv.org/abs/0803.0827v2

Nucl.Phys.B803:235-276,2008

Physics

High Energy Physics

High Energy Physics - Theory

49 pages, To appear in NPB

Scientific paper

10.1016/j.nuclphysb.2008.05.002

Using the harmonic superspace method and the duality between real and complex representations of hypermultiplets, we compute the explicit scalar field expression of the quaternionic metric $G_{mn}$ of the moduli space SO(1,1)x[SO(4,k)/(SO(4)xSO(k))] of 6D N=2 supergravity with generic k Maxwell supermultiplets. The obtained metric includes the particular case k=20 associated with 10D type IIA superstring on K3. Uplifting to 7D N=2 supergravity is described and aspects of 6D/7D black attractor effective potentials are studied.

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