Nonextremal black holes are BPS

Abstract

Extremal charged black holes are BPS solutions. It is commonly thought that their nonextremal counterparts are not. Further, experience with BPS solutions in flat spacetime suggests that all BPS solutions are supersymmetric; i.e. that they are invariant under some supersymmetry charges of either the original field theory or an appropriately extended version thereof. Using nonextremal Reissner-Nordström black holes as counterexamples, we show that neither of these expectations is universally valid. These black holes correspond to a one-parameter family of BPS solutions. By showing that, subject to one very plausible assumption, no generalized Killing spinor can be constructed for these, we show that there is no supergravity theory for which these BPS solutions preserve a fraction of the supersymmetry, nor is there an associated Witten-Nester positive energy bound.

LaTeX, 15 pages. v2 Discussion in sec 2.3 amended, small corrections, reference added. v3 (PRD version) Clarifications, corrections and references added. Section 3.2 partly rewritten and expanded, and assumption clarified

References in corpus (14)

• Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
• Fake Supergravity and Domain Wall Stability
• Hidden supersymmetry of domain walls and cosmologies
• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• Black Hole Microstates and Attractor Without Supersymmetry
• Absorption of Fixed scalars and the D-brane Approach to Black Holes
• All Supersymmetric Solutions of N=2, D=4 Gauged Supergravity
• Non-Extremal Gravity Duals for Fractional D3-Branes on the Conifold
• On the fakeness of fake supergravity
• Monopoles, Vortices, Domain Walls and D-Branes: The Rules of Interaction
• From AdS Black Holes to Supersymmetric Flux-branes
• More on BPS solutions of N=2, D=4 gauged supergravity
• Black hole entropy functions and attractor equations
• N=4 "Fake" Supergravity

Cited by in corpus (31)

• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• Flow Equations for Non-BPS Extremal Black Holes
• Transverse Charge Densities
• Generating Geodesic Flows and Supergravity Solutions
• First Order Description of Black Holes in Moduli Space
• Erice Lectures on Black Holes and Attractors
• First-order flow equations for extremal and non-extremal black holes
• Nonextremal black holes in gauged supergravity and the real formulation of special geometry
• Black holes in supergravity and integrability
• Non-extremal Black Holes, Harmonic Functions, and Attractor Equations
• On five-dimensional non-extremal charged black holes and FRW cosmology
• First-order flows and stabilisation equations for non-BPS extremal black holes
• The full integration of black hole solutions to symmetric supergravity theories
• Moduli flow and non-supersymmetric AdS attractors
• Black holes and black strings of N=2, d=5 supergravity in the H-FGK formalism
• A first-order formalism for timelike and spacelike brane solutions
• Fake supersymmetry versus Hamilton-Jacobi
• The Freudenthal gauge symmetry of the black holes of N=2,d=4 supergravity
• First order flow for non-extremal AdS black holes and mass from holographic renormalization
• Hot Attractors
• Black holes and equivariant charge vectors in N=2,d=4 supergravity
• Non-extremal black hole solutions from the c-map
• Brane Solutions with Tension
• Non-extremal black holes from the generalised r-map
• Camouflaged Supersymmetry
• Hidden Structures of Black Holes
• Non-extremal and non-BPS extremal five-dimensional black strings from generalized special real geometry
• Non-Supersymmetric Unattractors in Born-Infeld Black Holes
• Non-SUSY fractional branes
• Entropy of Black Holes in N=2 Supergravity
• Black holes, first-order flow equations and geodesics on symmetric spaces