A six-dimensional gravitational index saddle for the D1-D5-P black string is built and decoupled to a BTZ×S^3 saddle for the D1-D5 CFT index.
Exact solutions for supersymmetric stationary black hole composites
6 Pith papers cite this work, alongside 261 external citations. Polarity classification is still indexing.
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Pith papers citing it
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external citations · Pith
abstract
Four dimensional N=2 supergravity has regular, stationary, asymptotically flat BPS solutions with intrinsic angular momentum, describing bound states of separate extremal black holes with mutually nonlocal charges. Though the existence and some properties of these solutions were established some time ago, fully explicit analytic solutions were lacking thus far. In this note, we fill this gap. We show in general that explicit solutions can be constructed whenever an explicit formula is known in the theory at hand for the Bekenstein-Hawking entropy of a single black hole as a function of its charges, and illustrate this with some simple examples. We also give an example of moduli-dependent black hole entropy.
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hep-th 6representative citing papers
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.
Numerical analysis of 5D indices shows a transition from BMPV black hole entropy to black ring entropy at critical angular momentum m, while PT invariants exhibit two further transitions at positive m and DT invariants transition to D0-brane dominance.
An algebraic construction generates rotating solutions from static Weyl-class metrics in 5D minimal supergravity by using AdS×S asymptotics and frame shifts, recovering Kerr/Myers-Perry and producing a linear ansatz for multiple non-extremal rotating charged sources.
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.
citing papers explorer
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Index saddle for the D1-D5-P black string and its decoupling limit
A six-dimensional gravitational index saddle for the D1-D5-P black string is built and decoupled to a BTZ×S^3 saddle for the D1-D5 CFT index.
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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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Large Order Enumerative Geometry, Black Holes and Black Rings
Numerical analysis of 5D indices shows a transition from BMPV black hole entropy to black ring entropy at critical angular momentum m, while PT invariants exhibit two further transitions at positive m and DT invariants transition to D0-brane dominance.
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Generating Rotation in a Snap
An algebraic construction generates rotating solutions from static Weyl-class metrics in 5D minimal supergravity by using AdS×S asymptotics and frame shifts, recovering Kerr/Myers-Perry and producing a linear ansatz for multiple non-extremal rotating charged sources.
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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.