Domain Walls, Black Holes, and Supersymmetric Quantum Mechanics

Abstract

Supersymmetric solutions, such as BPS domain walls or black holes, in four- and five-dimensional supergravity theories with eight supercharges can be described by effective quantum mechanics with a potential term. We show how properties of the latter theory can help us to learn about the physics of supersymmetric vacua and BPS solutions in these supergravity theories. The general approach is illustrated in a number of specific examples where scalar fields of matter multiplets take values in symmetric coset spaces.

35 pages, added references and corrections, version to appear in NPB

References in corpus (1)

• On the Vacuum Structure of Type II String Compactifications on Calabi-Yau Spaces with H-Fluxes

Cited by in corpus (26)

• Distributions of flux vacua
• Mirror Symmetry in Generalized Calabi-Yau Compactifications
• Flow Equations for Non-BPS Extremal Black Holes
• New Attractors
• Hypermultiplets, domain walls and supersymmetric attractors
• Superconformal N=2, D=5 matter with and without actions
• Weyl multiplets of N=2 conformal supergravity in five Dimensions
• On Fermion Masses, Gradient Flows and Potential in Supersymmetric Theories
• First-order flow equations for extremal and non-extremal black holes
• Fluxes in M-theory on 7-manifolds and G structures
• Curved BPS domain wall solutions in four-dimensional N=2 supergravity
• Curved BPS domain walls and RG flow in five dimensions
• Vacua of N=2 gauged supergravity derived from non-homogeneous quaternionic spaces
• Counting RG flows
• Flows on quaternionic-Kaehler and very special real manifolds
• BPS equations in N=2, D=5 supergravity with hypermultiplets
• The Kahler Cone as Cosmic Censor
• Topological Transitions and Enhancon-like Geometries in Calabi-Yau Compactifications of M-Theory
• Localized Fermions on Domain Walls and Extended Supersymmetric Quantum Mechanics
• Heterotic Calabi-Yau Compactifications with Flux
• On the correspondence between black holes, domain walls and fluxes
• Comments on fake supersymmetry
• Superconducting Cosmic Strings and One Dimensional Extended Supersymmetric Algebras
• Moduli in General $SU(3)$-Structure Heterotic Compactifications
• Fermions in a Reissner-Nordström-anti-de Sitter Black Hole Background and $N=4$ Supersymmetry with non-trivial Topological Charges
• Central Charge Extended Supersymmetric Structures for Fundamental Fermions Around non-Abelian Vortices