Duality covariant multi-centre black hole systems

Abstract

We present a manifestly duality covariant formulation of the composite non-BPS and almost-BPS systems of multi-centre black hole solutions in four dimensions. The method of nilpotent orbits is used to define the two systems in terms of first order flow equations that transform covariantly under the duality group. Subsequently, we rewrite both systems of equations in terms of real, manifestly duality covariant, linear systems of Poisson equations. Somewhat unexpectedly, we find that the two systems are naturally described by the same equations involving space dependent abelian isometries that are conjugate to T-dualities by similarity transformations.

56 pages

References in corpus (6)

• Black Hole Microstates and Attractor Without Supersymmetry
• Microstates of a Neutral Black Hole in M Theory
• Almost BPS black holes
• U-duality and non-BPS solutions
• Multi-Center non-BPS Black Holes - the Solution
• First-order flows and stabilisation equations for non-BPS extremal black holes

Cited by in corpus (12)

• Gluing gravitational blocks for AdS black holes
• Rotating attractors and BPS black holes in $Ad{S}_4$
• Anomalies, Black strings and the charged Cardy formula
• Static BPS black holes in U(1) gauged supergravity
• A bubbling bolt
• 4d F(4) gauged supergravity and black holes of class $\mathcal{F}$
• Exact ${\nabla }^4{R}^4$ couplings and helicity supertraces
• Phases of non-extremal multi-centered bound states
• Non-extremal black hole solutions from the c-map
• Wilson lines for AdS_5 black strings
• Quarter-BPS Black Holes in AdS${}_4$-NUT from $N=2$ Gauged Supergravity
• non-BPS walls of marginal stability