Extremal black holes, nilpotent orbits and the true fake superpotential

  title={Extremal black holes, nilpotent orbits and the true fake superpotential},
  author={Guillaume Bossard and Yann Michel and Boris Pioline},
  journal={Journal of High Energy Physics},
Dimensional reduction along time offers a powerful way to study stationary solutions of 4D symmetric supergravity models via group-theoretical methods. We apply this approach systematically to extremal, BPS and non-BPS, spherically symmetric black holes, and obtain their “fake superpotential” W. The latter provides first order equations for the radial problem, governs the mass and entropy formula and gives the semi-classical approximation to the radial wave function. To achieve this goal, we… 

Black Holes and First Order Flows in Supergravity

We review the description of static, spherically symmetric, asymptotically- flat black holes in four dimensional supergravity in terms of an autonomous Hamiltonian system. A special role in this

Fake superpotential for large and small extremal black holes

We consider the fist order, gradient-flow, description of the scalar fields coupled to spherically symmetric, asymptotically flat black holes in extended supergravities. Using the identification of

Integrability of supergravity black holes and new tensor classifiers of regular and nilpotent orbits

A bstractIn this paper we apply in a systematic way a previously developed integration algorithm of the relevant Lax equation to the construction of spherical symmetric, asymptotically flat black

Extremal Black Holes and Nilpotent Orbits

The stationary solutions of a large variety of (super)gravity theories can be described within a non-linear sigma model G / H* coupled to Euclidean gravity in three-dimensions, for which G is a

Extremal multicenter black holes: nilpotent orbits and Tits Satake universality classes

A bstractFour dimensional supergravity theories whose scalar manifold is a symmetric coset manifold UD=4/Hc are arranged into a finite list of Tits Satake universality classes. Stationary solutions

Black holes in N=8 supergravity from SO(4,4) hidden symmetries

We detail the construction of the most general asymptotically flat, stationary, rotating, nonextremal, dyonic black hole of the four-dimensional N = 2 supergravity coupled to 3 vector multiplets that

Non-extremal Black Holes from the Generalised R-map

We review the timelike dimensional reduction of a class of five-dimensional theories that generalises \(5D,\;\mathcal{{N}} = 2\) supergravity coupled to vector multiplets. As an application we

Stationary D = 4 black holes in supergravity: The issue of real nilpotent orbits

The complete classification of the nilpotent orbits of SO(2,2)2 in the representation (2,2,2,2), achieved in , is applied to the study of multi‐center, asymptotically flat, extremal black hole

Black Hole Nilpotent Orbits and Tits Satake Universality Classes

In this paper we consider the problem of classification of nilpotent orbits for the pseudo-quaternionic coset manifolds U/H* obtained in the time-like dimensional reduction of N = 2 supergravity



First order description of black holes in moduli space

We show that the second order field equations characterizing extremal solutions for spherically symmetric, stationary black holes are in fact implied by a system of first order equations given in

5D black holes and non-linear sigma models

Stationary solutions of 5D supergravity with U(1) isometry can be efficiently studied by dimensional reduction to three dimensions, where they reduce to solutions to a locally supersymmetric

Quantum Attractor Flows

Motivated by the interpretation of the Ooguri-Strominger-Vafa conjecture as a holographic correspondence in the mini-superspace approximation, we study the radial quantization of stationary,

Charge Orbits of Symmetric Special Geometries and Attractors

We study the critical points of the black hole scalar potential VBH in N = 2, d = 4 supergravity coupled to nV vector multiplets, in an asymptotically flat extremal black hole background described by

Universal BPS structure of stationary supergravity solutions

We study asymptotically flat stationary solutions of four-dimensional supergravity theories via the associated G/H ∗ pseudo-Riemannian non-linear sigma models in three spatial dimensions. The Noether

Extremality versus supersymmetry in stringy black holes

Generating geodesic flows and supergravity solutions

Exact solutions for supersymmetric stationary black hole composites

A bstractFour dimensional $ \mathcal{N} = {2} $ supergravity has regular, stationary, asymptotically flat BPS solutions with intrinsic angular momentum, describing bound states of separate extremal