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

Abstract

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.

49 pages, To appear in NPB

References in corpus (32)

• String Theory Dynamics In Various Dimensions
• N=2 Extremal Black Holes
• All supersymmetric solutions of minimal supergravity in five dimensions
• Supersymmetry and Attractors
• Macroscopic Entropy of $N=2$ Extremal Black Holes
• Universality of Sypersymmetric Attractors
• On the Vacuum Structure of Type II String Compactifications on Calabi-Yau Spaces with H-Fluxes
• K3 Surfaces and String Duality
• Gauged Six-dimensional Supergravity from Massive Type IIA
• Enhanced Gauge Symmetries and K3 Surfaces
• U-Duality and Central Charges in Various Dimensions Revisited
• Matter Coupled F(4) Gauged Supergravity Lagrangian
• Matter Coupled F(4) Supergravity and the AdS_6/CFT_5 Correspondence
• 4-D gauged supergravity analysis of Type IIB vacua on $K3\times T^2/Z_2$
• Non-BPS Attractors in 5d and 6d Extended Supergravity
• Scalar Potential and Dyonic Strings in 6D Gauged Supergravity
• N=2 Supersymmetric Black Attractors in Six and Seven Dimensions
• Brane-world Kaluza-Klein reductions and Branes on the Brane
• Geometric Engineering of N=2 CFT_{4}s based on Indefinite Singularities: Hyperbolic Case
• RG Cascades in Hyperbolic Quiver Gauge Theories
• On HyperKahler Singularities
• The Attractor Mechanism in Five Dimensions
• Classification of N=2 supersymmetric CFT_{4}s: Indefinite Series
• D-string fluid in conifold: I. Topological gauge model
• Explicit Analysis of Kahler Deformations in 4D N=1 Supersymmetric Quiver Theories
• D-string fluid in conifold: II. Matrix model for D-droplets on S^{3} and S^{2}
• BPS and non BPS 7D Black Attractors in M-Theory on K3
• Black Holes in Type IIA String on Calabi-Yau Threefolds with Affine ADE Geometries and q-Deformed 2d Quiver Gauge Theories
• Explicit Derivation of Yang-Mills Self-Dual Solutions on non-Commutative Harmonic Space
• Topological string in harmonic space and correlation functions in $S^3$ stringy cosmology
• $L^2$-index of the Dirac operator of generalized Euclidean Taub-NUT metrics
• Inflation in Gauged 6D Supergravity

Cited by in corpus (15)

• stu Black Holes Unveiled
• d=4 Attractors, Effective Horizon Radius and Fake Supergravity
• Attractors in Black
• Entropy of Pairs of Dual Attractors in 6D/7D
• Intersecting Attractors
• Computing the Scalar Field Couplings in 6D Supergravity
• Higher spin AdS${}_3$ gravity and Tits-Satake diagrams
• SAM Lectures on Extremal Black Holes in d=4 Extended Supergravity
• Extremal Black Brane Attractors on The Elliptic Curve
• On Black Objects in Type IIA Superstring Theory on Calabi-Yau Manifolds
• Extremal Black Attractors in 8D Maximal Supergravity
• On Black Attractors in 8D and Heterotic/Type IIA Duality
• Intersecting Black Attractors in 8D N=1 Supergravity
• Quiver Gauge Models in F-Theory on Local Tetrahedron
• Twisted 3D $N=4$ Supersymmetric YM on deformed ${\mathbb{A}}_3^{\ast }$ Lattice