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Non-BPS walls of marginal stability

2013/09/12 by Guillaume Bossard, Stefanos Katmadas · 5 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Composite number #Computer science #Cosmology and Gravitation Theories #Dimension (graph theory) #Geometry #Hypersurface #Instability #Marginal stability #Mathematical analysis #Mathematical physics #Mathematics #Moduli space #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Space (punctuation) #Stability (learning theory) #Supergravity #Supersymmetry #hep-th

paper · pdf · doi:10.1007/jhep10(2013)179

published in Journal of High Energy Physics 2013(10) (Springer Nature) · 54 pages, 1 figure

arxiv created 2013/09/12 · openalex publication_date 2013/10/01 · arxiv updated 2015/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

A bstract We explore the properties of non-BPS multi-centre extremal black holes in ungauged N=2 supergravity coupled to n v vector multiplets, as described by solutions to the composite non-BPS linear system. After setting up an explicit description that allows for arbitrary non-BPS charges to be realised at each centre, we study the structure of the resulting solutions. Using these results, we prove that the binding energy of the composite is always positive and we show explicitly the existence of walls of marginal stability for generic choices of charges. The two-centre solutions only exist on a hypersurface of dimension n v +1 in moduli space, with an n v -dimensional boundary, where the distance between the centres diverges and the binding energy vanishes.

Citations