Universality of the superpotential for d = 4 extremal black holes

Abstract

We provide a general strategy to obtain the superpotential W for both BPS and non-BPS extremal black holes in N=2 four dimensional supergravities based on symmetric spaces. This extends the construction of W in terms of U-duality invariants that was presented in previous work on the $t^3$ model. As an application, we explicitly provide W and the solutions to the related gradient flows for the $s{t}^2$ and stu models. The procedure is shown to hold also for the full N=8 theory. The role of flat directions in moduli space is clarified.

29 pages. v2: typos corrected, comments and references added

References in corpus (10)

• Charge Orbits of Symmetric Special Geometries and Attractors
• On the Moduli Space of non-BPS Attractors for N=2 Symmetric Manifolds
• First Order Description of Black Holes in Moduli Space
• Almost BPS black holes
• First-order flow equations for extremal and non-extremal black holes
• First Order Description of D=4 static Black Holes and the Hamilton-Jacobi equation
• d=4 Attractors, Effective Horizon Radius and Fake Supergravity
• 4d/5d Correspondence for the Black Hole Potential and its Critical Points
• First order flows for N=2 extremal black holes and duality invariants
• Non-supersymmetric extremal multicenter black holes with superpotentials

Cited by in corpus (38)

• The black-hole/qubit correspondence: an up-to-date review
• Interacting non-BPS black holes
• On the Black-Hole/Qubit Correspondence
• Octonionic black holes
• Black holes in supergravity and integrability
• Degeneration of Groups of Type E7 and Minimal Coupling in Supergravity
• Fake Superpotential for Large and Small Extremal Black Holes
• First-order flows and stabilisation equations for non-BPS extremal black holes
• Black holes and black strings of N=2, d=5 supergravity in the H-FGK formalism
• Fake supersymmetry versus Hamilton-Jacobi
• Two-Center Black Holes Duality-Invariants for stu Model and its lower-rank Descendants
• The Freudenthal gauge symmetry of the black holes of N=2,d=4 supergravity
• Small N=2 Extremal Black Holes in Special Geometry
• Ungauging black holes and hidden supercharges
• Integrability of Supergravity Black Holes and New Tensor Classifiers of Regular and Nilpotent Orbits
• Duality covariant non-BPS first order systems
• A bubbling bolt
• Black Hole Nilpotent Orbits and Tits Satake Universality Classes
• Black hole solutions to the $F_4$-model and their orbits (I)
• Matrix Norms, BPS Bounds and Marginal Stability in N=8 Supergravity
• Extremal Multicenter Black Holes: Nilpotent Orbits and Tits Satake Universality Classes
• Rotating black holes, global symmetry and first order formalism
• Topics in Cubic Special Geometry
• Maurer-Cartan Equations and Black Hole Superpotentials in N =8 Supergravity
• 1/8 BPS black hole composites
• A Simple Derivation of Supersymmetric Extremal Black Hole Attractors
• Attractors and first order formalism in five dimensions revisited
• Black Holes and Groups of Type E7
• d-Geometries Revisited
• Some Pathways in non-Linear Supersymmetry: Special Geometry Born-Infeld's, Cosmology and dualities
• non-BPS walls of marginal stability
• Extremal Black Attractors in 8D Maximal Supergravity
• New Perspectives on Attractor Flows and Trees from CFT
• Black holes in supergravity: flow equations and duality
• Multi-Centered First Order Formalism
• Intersecting Black Attractors in 8D N=1 Supergravity
• Perturbative and Non-Perturbative Aspects of N=8 Supergravity
• Black holes in the Superworld