BPS and non BPS 7D Black Attractors in M-Theory on K3

Abstract

We study the BPS and non BPS black attractors in 7D N=2 supergravity embedded in 11D M-theory compactified on K3. Combining Kahler and complex moduli in terms of SO(3) representations, we build the Dalbeault like (DL) basis for the second cohomology of K3 and set up the fundamental relations of the special "hyperKahler" geometry of the underlying moduli space of the 7D theory. We study the attractor eqs of the 7D black branes by using the method of the criticality of the effective potential and also by using the extension of the so called 4D new attractor approach to 7D N=2 supergravity. A comment, regarding a 6D/7D correspondence, along the line of Ceresole-Ferrara-Marrani used for 4D/5D, ref.arXiv:0707.0964, is made.

83 pages, Typos corrected, References added

References in corpus (29)

• Flux Compactification
• All supersymmetric solutions of minimal supergravity in five dimensions
• Supersymmetry and Attractors
• Macroscopic Entropy of $N=2$ Extremal Black Holes
• Universality of Sypersymmetric Attractors
• Duality Transformations in Supersymmetric Yang-Mills Theories coupled to Supergravity,
• Non-Supersymmetric Attractors
• New Connections Between 4D and 5D Black Holes
• K3 Surfaces and String Duality
• Non-Supersymmetric Attractors in String Theory
• Classical and quantum N=2 supersymmetric black holes
• The Non-BPS Black Hole Attractor Equation
• New Attractors
• U-Duality and Central Charges in Various Dimensions Revisited
• Stationary black holes and attractor mechanism
• On some properties of the Attractor Equations
• N=8 non-BPS Attractors, Fixed Scalars and Magic Supergravities
• d=4 Black Hole Attractors in N=2 Supergravity with Fayet-Iliopoulos Terms
• Extremal Black Hole and Flux Vacua Attractors
• Non-BPS Attractors in 5d and 6d Extended Supergravity
• Moduli Stabilization, Large-Volume dS Minimum Without anti-D3-Branes, (Non-)Supersymmetric Black Hole Attractors and Two-Parameter Swiss Cheese Calabi-Yau's
• N=2 Supersymmetric Black Attractors in Six and Seven Dimensions
• Separation of Attractors in 1-modulus Quantum Corrected Special Geometry
• The Attractor Mechanism in Five Dimensions
• Black Holes in Type IIA String on Calabi-Yau Threefolds with Affine ADE Geometries and q-Deformed 2d Quiver Gauge Theories
• Generalized MacMahon G(q) as q-deformed CFT Correlation Function
• Self-Dual Supergravity in Seven Dimensions with Reduced Holonomy G_2
• Non Planar Topological 3-Vertex Formalism
• First-order attractor flow equations for supersymmetric black rings in N=2, D=5 supergravity

Cited by in corpus (12)

• stu Black Holes Unveiled
• d=4 Attractors, Effective Horizon Radius and Fake Supergravity
• Attractors in Black
• N=2 Supersymmetric Black Attractors in Six and Seven Dimensions
• Entropy of Pairs of Dual Attractors in 6D/7D
• On Black Hole Effective Potential in 6D/7D N=2 Supergravity
• Computing the Scalar Field Couplings in 6D Supergravity
• On Black Objects in Type IIA Superstring Theory on Calabi-Yau Manifolds
• Extremal Black Attractors in 8D Maximal Supergravity
• Attractor Flows in st^2 Black Holes
• Intersecting Black Attractors in 8D N=1 Supergravity
• Quiver Gauge Models in F-Theory on Local Tetrahedron