Duality covariant non-BPS first order systems

Abstract

We study extremal black hole solutions to four dimensional N=2 supergravity based on a cubic symmetric scalar manifold. Using the coset construction available for these models, we define the first order flow equations implied by the corresponding nilpotency conditions on the three-dimensional scalar momenta for the composite non-BPS class of multi-centre black holes. As an application, we directly solve these equations for the single-centre subclass, and write the general solution in a manifestly duality covariant form. This includes all single-centre under-rotating non-BPS solutions, as well as their non-interacting multi-centre generalisations.

31 pages, v2: Discussion of the quadratic constraint clarified, references added, typos corrected, published version

References in corpus (16)

• Black Hole Microstates and Attractor Without Supersymmetry
• Microstates of a Neutral Black Hole in M Theory
• Charge Orbits of Symmetric Special Geometries and Attractors
• Non-Supersymmetric Attractor Flow in Symmetric Spaces
• Universal BPS structure of stationary supergravity solutions
• On the Moduli Space of non-BPS Attractors for N=2 Symmetric Manifolds
• String Theory Effects on Five-Dimensional Black Hole Physics
• First Order Description of Black Holes in Moduli Space
• Almost BPS black holes
• U-duality and non-BPS solutions
• First-order flow equations for extremal and non-extremal black holes
• Multi-Center non-BPS Black Holes - the Solution
• First order flows for N=2 extremal black holes and duality invariants
• Constituent Model of Extremal non-BPS Black Holes
• Extremal solutions of the S3 model and nilpotent orbits of G2(2)
• First-order flows and stabilisation equations for non-BPS extremal black holes

Cited by in corpus (19)

• Gluing gravitational blocks for AdS black holes
• Gravitational Footprints of Black Holes and Their Microstate Geometries
• Static BPS Black Holes in AdS4 with General Dyonic Charges
• Rotating attractors and BPS black holes in $Ad{S}_4$
• Static BPS black holes in U(1) gauged supergravity
• The Freudenthal gauge symmetry of the black holes of N=2,d=4 supergravity
• Ungauging black holes and hidden supercharges
• 4d N=2 supergravity observables from Nekrasov-like partition functions
• 6d-5d-4d reduction of BPS attractors in flat gauged supergravities
• Rotating black holes, global symmetry and first order formalism
• Phases of non-extremal multi-centered bound states
• Duality covariant multi-centre black hole systems
• Almost BPS but still not renormalized
• Black holes and equivariant charge vectors in N=2,d=4 supergravity
• On anharmonic stabilisation equations for black holes
• Black hole solutions of N=2, d=4 supergravity with a quantum correction, in the H-FGK formalism
• Quarter-BPS Black Holes in AdS${}_4$-NUT from $N=2$ Gauged Supergravity
• non-BPS walls of marginal stability
• Multi-Centered First Order Formalism