All supersymmetric degenerate Killing horizons with closed spatial cross sections in D=11 supergravity are either isometric to near-horizon geometries or have vanishing spinorial Lie derivative and are pp-waves when possessing more than 13 supersymmetries.
All supersymmetric solutions of minimal supergravity in five dimensions
8 Pith papers cite this work, alongside 766 external citations. Polarity classification is still indexing.
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766
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abstract
All purely bosonic supersymmetric solutions of minimal supergravity in five dimensions are classified. The solutions preserve either one half or all of the supersymmetry. Explicit examples of new solutions are given, including a large family of plane-fronted waves and a maximally supersymmetric analogue of the G\"odel universe which lifts to a solution of eleven dimensional supergravity that preserves 20 supersymmetries.
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Explicit 11D solutions show flux stabilization of T^4/Z2 moduli in EFT does not match the full theory, with non-Lorentz-invariant deformations stabilizing a mix of volume and shape moduli instead.
Constructs complex BTZ x S3 saddles for the supersymmetric index in AdS3 x S3 supergravity, matching supersymmetry requirements through two-center 4D solutions with complex charges and 6D black strings.
Flat spacetime is the only fully supersymmetric solution in four-dimensional N=3 and N=4 higher derivative Poincaré supergravity, unlike N=2 where Bertotti-Robinson geometry also qualifies.
The authors derive explicit monodromy matrices for Bena-Warner BPS solutions and almost-BPS configurations including two-center black rings, factorize them via nilpotent elements of so(4,4), and construct an SO(4,4) duality relating branches of the Rasheed-Larsen solution.
Constructs a 2-center helical-profile solution that interpolates between two circular-profile Lunin-Mathur microstate geometries while exhibiting charge delocalization and transfer between centers.
The static Reissner-Nordström black hole embedded in Bertotti-Robinson (AdS₂ × S²) is supersymmetric in N=2 D=4 supergravity, saturates the BPS bound, and yields mass and thermodynamic relations with a cosmological-constant generalization.
The non-extremal saddle for the 5D BMPV black hole index is expressed in canonical harmonic-function form on a flat base, establishing supersymmetry and the new attractor property.
citing papers explorer
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Classification of Killing Horizons in D=11 Supergravity
All supersymmetric degenerate Killing horizons with closed spatial cross sections in D=11 supergravity are either isometric to near-horizon geometries or have vanishing spinorial Lie derivative and are pp-waves when possessing more than 13 supersymmetries.
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Lost in Translation: Moduli Stabilization from EFT to Eleven Dimensions
Explicit 11D solutions show flux stabilization of T^4/Z2 moduli in EFT does not match the full theory, with non-Lorentz-invariant deformations stabilizing a mix of volume and shape moduli instead.
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Complex BPS Black Holes in AdS$_3\times S^3$
Constructs complex BTZ x S3 saddles for the supersymmetric index in AdS3 x S3 supergravity, matching supersymmetry requirements through two-center 4D solutions with complex charges and 6D black strings.
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Only Flat Spacetime is Full BPS in Four Dimensional N=3 and N=4 Supergravity
Flat spacetime is the only fully supersymmetric solution in four-dimensional N=3 and N=4 higher derivative Poincaré supergravity, unlike N=2 where Bertotti-Robinson geometry also qualifies.
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Monodromy-Matrix Description of Extremal Multi-centered Black Holes
The authors derive explicit monodromy matrices for Bena-Warner BPS solutions and almost-BPS configurations including two-center black rings, factorize them via nilpotent elements of so(4,4), and construct an SO(4,4) duality relating branches of the Rasheed-Larsen solution.
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Interpolating between multi-center microstate geometries
Constructs a 2-center helical-profile solution that interpolates between two circular-profile Lunin-Mathur microstate geometries while exhibiting charge delocalization and transfer between centers.
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Supersymmetry of the static Reissner-Nordstr\"om black hole in Bertotti-Robinson ($\mathrm{AdS}_2 \times \mathbb{S}^2$)
The static Reissner-Nordström black hole embedded in Bertotti-Robinson (AdS₂ × S²) is supersymmetric in N=2 D=4 supergravity, saturates the BPS bound, and yields mass and thermodynamic relations with a cosmological-constant generalization.
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Attractor saddle for 5D black hole index
The non-extremal saddle for the 5D BMPV black hole index is expressed in canonical harmonic-function form on a flat base, establishing supersymmetry and the new attractor property.