Exact solutions in Einstein-SU(2) sigma model yield black holes and branes with bumpy horizons stabilized by integer vorticity of superfluid pions.
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Accelerating black holes and spinning spindles
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abstract
We study solutions in the Pleba\'nski--Demia\'nski family which describe an accelerating, rotating and dyonically charged black hole in $AdS_4$. These are solutions of $D=4$ Einstein-Maxwell theory with a negative cosmological constant and hence minimal $D=4$ gauged supergravity. It is well known that when the acceleration is non-vanishing the $D=4$ black hole metrics have conical singularities. By uplifting the solutions to $D=11$ supergravity using a regular Sasaki-Einstein $7$-manifold, $SE_7$, we show how the free parameters can be chosen to eliminate the conical singularities. Topologically, the $D=11$ solutions incorporate an $SE_7$ fibration over a two-dimensional weighted projective space, $\mathbb{WCP}^1_{[n_-,n_+]}$, also known as a spindle, which is labelled by two integers that determine the conical singularities of the $D=4$ metrics. We also discuss the supersymmetric and extremal limit and show that the near horizon limit gives rise to a new family of regular supersymmetric $AdS_2\times Y_9$ solutions of $D=11$ supergravity, which generalise a known family by the addition of a rotation parameter. We calculate the entropy of these black holes and argue that it should be possible to derive this from certain ${\cal N}=2$, $d=3$ quiver gauge theories compactified on a spinning spindle with appropriate magnetic flux.
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New AdS3 x Y7 solutions in type IIB supergravity with spindle bases and hyperscalars dual to 2d N=(0,2) SCFTs, featuring non-coprime spindle integers and vanishing hyperscalars at poles for non-vanishing U(1)B flux.
Exact partition functions for N=(2,2) theories on spindles are computed via localisation for both twist and anti-twist, yielding a unified formula.
Classification of supersymmetric AdS3 solutions in 7d supergravity yielding M5-brane wrappings on WCP2 and spindle fibrations, with central charges matched via holography and c-extremization.
De Sitter space decays into vortex-dressed black holes via a regular Euclidean instanton that generalizes the Nariai solution, with rates organized by topological charge of the vortices.
New classes of supersymmetric AdS₂×Σ spindle solutions with hyperscalars are constructed in D=4 STU gauged supergravity and uplifted to smooth AdS₂×Y₉ solutions in D=11 supergravity.
G_S-invariant subsectors yield consistent truncations for pure supergravities and prove that type IIB uplifts of multicharge spindle solutions are always non-regular with eight codimension-six orbifold singularities.
The complex saddles of the ABJM index are interpreted through instability of wrapped M5-branes in the dual gravity theory.
citing papers explorer
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Exact black holes and black branes with bumpy horizons supported by superfluid pions
Exact solutions in Einstein-SU(2) sigma model yield black holes and branes with bumpy horizons stabilized by integer vorticity of superfluid pions.
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Spindle solutions, hyperscalars and smooth uplifts
New AdS3 x Y7 solutions in type IIB supergravity with spindle bases and hyperscalars dual to 2d N=(0,2) SCFTs, featuring non-coprime spindle integers and vanishing hyperscalars at poles for non-vanishing U(1)B flux.
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Localisation of $\mathcal{N} = (2,2)$ theories on spindles of both twists
Exact partition functions for N=(2,2) theories on spindles are computed via localisation for both twist and anti-twist, yielding a unified formula.
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M5 branes wrapping $\mathbb{WCP}^2$ and spindles fibred over constant curvature Riemann surfaces
Classification of supersymmetric AdS3 solutions in 7d supergravity yielding M5-brane wrappings on WCP2 and spindle fibrations, with central charges matched via holography and c-extremization.
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Semiclassical decay of de Sitter space into black holes with vortex-deformed horizons
De Sitter space decays into vortex-dressed black holes via a regular Euclidean instanton that generalizes the Nariai solution, with rates organized by topological charge of the vortices.
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Spindle solutions with hyperscalars in $D=4$ gauged supergravity
New classes of supersymmetric AdS₂×Σ spindle solutions with hyperscalars are constructed in D=4 STU gauged supergravity and uplifted to smooth AdS₂×Y₉ solutions in D=11 supergravity.
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Consistent Truncations from Duality Symmetries and Desingularization of Orbifold Uplifts
G_S-invariant subsectors yield consistent truncations for pure supergravities and prove that type IIB uplifts of multicharge spindle solutions are always non-regular with eight codimension-six orbifold singularities.
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A gravity interpretation for the complex Euclidean saddles of the ABJM index
The complex saddles of the ABJM index are interpreted through instability of wrapped M5-branes in the dual gravity theory.
- Indices of M5 and M2 branes at finite $N$ from equivariant volumes, and a new duality