Moduli Space of Supersymmetric Solitons and Black Holes in Five Dimensions

  title={Moduli Space of Supersymmetric Solitons and Black Holes in Five Dimensions},
  author={Veronika Breunh{\"o}lder and James Lucietti},
  journal={Communications in Mathematical Physics},
We determine all asymptotically flat, supersymmetric and biaxisymmetric soliton and black hole solutions to five-dimensional minimal supergravity. In particular, we show that the solution must be a multi-centred solution with a Gibbons–Hawking base. The proof involves combining local constraints from supersymmetry with global constraints for stationary and biaxisymmetric spacetimes. This reveals that the horizon topology must be one of S3, $${{S}^{1}\times {S}^{2}}$$S1×S2 or a lens space L(p, 1… Expand

Figures from this paper

Moduli space of supersymmetric black holes in five dimensions
This thesis presents a classification of all asymptotically flat, supersymmetric and biaxisymmetric (i.e. possessing a U(1)2-symmetry) soliton and black hole solutions to five-dimensional minimalExpand
Supersymmetric black hole non-uniqueness in five dimensions
A bstractWe present a systematic study of the moduli space of asymptotically flat, supersymmetric and biaxisymmetric black hole solutions to five-dimensional minimal supergravity. Previously, it hasExpand
Symmetry enhancement of Killing horizons in D = 6 supergravity
We investigate the near-horizon geometry of supersymmetric extremal black holes in 6-dimensional gauged $N=(1,0)$ supergravity. We solve the Killing spinor equations along the lightcone and establishExpand
Existence and Uniqueness of Stationary Solutions in 5-Dimensional Minimal Supergravity
We study the problem of stationary bi-axially symmetric solutions of the $5$-dimensional minimal supergravity equations. Essentially all possible solutions with nondegenerate horizons are produced,Expand
Dynamical supersymmetry enhancement of black hole horizons
This thesis is devoted to the study of dynamical symmetry enhancement of black hole horizons in string theory. In particular, we consider supersymmetric horizons in the low energy limit of stringExpand
Geroch group description of bubbling geometries
A bstractThe Riemann-Hilbert approach to studying solutions of supergravity theories allows us to associate spacetime independent monodromy matrices (matrices in the Geroch group) with solutions thatExpand
Electrovacuum spacetime near an extreme horizon
We determine all infinitesimal transverse deformations of extreme horizons in Einstein-Maxwell theory that preserve axisymmetry. In particular, we show that the general static transverse deformationExpand
Stationary and biaxisymmetric four-soliton solution in five dimensions
Using the inverse scattering method to solve the five-dimensional vacuum Einstein equations, we construct an asymptotically flat four-soliton solution as a stationary and bi-axisymmetric solution. WeExpand
Lower bound for angular momenta of microstate geometries in five dimensions
We study the Bogomol’nyi-Prasad-Sommerfield (BPS) solutions of the asymptotically flat, stationary microstate geometries with bi-axisymmetry and reflection symmetry in the fivedimensional ungaugedExpand
New restrictions on the topology of extreme black holes
We provide bounds on the first Betti number and structure results for the fundamental group of horizon cross sections for extreme stationary vacuum black holes in arbitrary dimension, withoutExpand


Black hole non-uniqueness via spacetime topology in five dimensions
A bstractThe domain of outer communication of five-dimensional asymptotically flat stationary spacetimes may possess non-trivial 2-cycles. We discuss how this may lead to a gross violation of blackExpand
Stationary vacuum black holes in 5 dimensions
Abstract We study the problem of asymptotically flat bi-axially symmetric stationary solutions of the vacuum Einstein equations in 5-dimensional spacetime. In this setting, the cross section of anyExpand
Topological Sources of Soliton Mass and Supersymmetry Breaking
We derive the Smarr formulae for two five-dimensional solutions of supergravity, which are asymptotically R^(1,3)xS^1; in particular, one has a magnetic bolt in its center, and one is a two-centerExpand
Uniqueness of five-dimensional supersymmetric black holes
A classification of supersymmetric solutions of five dimensional ungauged supergravity coupled to arbitrary many abelian vector multiplets is used to prove a uniqueness theorem for asymptoticallyExpand
Comments on black holes in bubbling spacetimes
A bstractIn five-dimensional minimal supergravity, there are spherical black holes with nontrivial topology outside the horizon which have the same conserved charges at infinity as the BMPV solution.Expand
Uniqueness of black holes with bubbles in minimal supergravity
We generalize uniqueness theorems for non-extremal black holes with three mutually independent Killing vector fields in five-dimensional minimal supergravity in order to account for the existence ofExpand
Uniqueness theorem for black hole space-times with multiple disconnected horizons
AbstractWe show uniqueness of stationary and asymptotically flat black hole spacetimes with multiple disconnected horizons and with two rotational Killing vector fields in the context ofExpand
Bubbling supertubes and foaming black holes
We construct smooth BPS three-charge geometries that resolve the zero-entropy singularity of the U(1)xU(1) invariant black ring. This singularity is resolved by a geometric transition that results inExpand
Asymptotically flat multiblack lenses
We present an asymptotically flat and stationary multi-black lens solution with bi-axisymmetry of $U(1)\times U(1)$ as a supersymmetric solution in the five-dimensional minimal ungauged supergravity.Expand
A Generalization of Hawking’s Black Hole Topology Theorem to Higher Dimensions
Hawking’s theorem on the topology of black holes asserts that cross sections of the event horizon in 4-dimensional asymptotically flat stationary black hole spacetimes obeying the dominant energyExpand