GRG Editor's Choice: Microstate geometries at a generic point in moduli space

© SpringerBossard, G. & Lüst, S., Microstate geometries at a generic point in moduli space, Gen Relativ Gravit (2019) 51: 112.

Editor’s Choice (Invited Report: State of the field)

First Online: 3 September 2019

Part of the Topical Collection: "The Fuzzball Paradigm"


We systematically study all supersymmetric solutions of six-dimensional (2, 0) supergravity with a null isometry. In particular, every such solution with at least four real supersymmetries is also a supersymmetric solution of a (1, 0) theory preserving the same absolute amount of supersymmetry. This implies that no genuinely new solutions of this type can be found in this framework. The microstate geometries associated to supersymmetric black holes within Mathur’s proposal are generically supersymmetric solutions of six-dimensional supergravity. A direct consequence of our result is that supersymmetric microstate geometries of single centre supersymmetric black holes should carry only one compact 3-cycle.

The authors: 

Guillaume Bossard is a scientist in the String Theory group at the Centre de Physique Théorique, CNRS, Institut Polytechnique de Paris. His research interests are the Mathur fuzzball proposal for black hole microstates, Black hole entropy for supersymmetric black holes in string theory, Low energy effective action in string theory, Supersymmetry, duality symmetries and automorphic representations, and Exceptional field theories and generalized geometry.

Severin Lüst is a post doctoral fellow in the same group, working on String theory, (gauged) Supergravity, and Solutions of supergravities.

GRG Editor's Choice:

In each volume of GRG, a few papers are marked as “Editor’s Choice”. The primary criteria is original, high quality research that is of wide interest within the community.