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NUTs, Bolts, and Spindles
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NUTs, Bolts, and Spindles
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We construct new infinite classes of Euclidean supersymmetric solutions of four dimensional minimal gauged supergravity comprising a $U (1) \times U (1)$-invariant asymptotically locally hyperbolic metric on the total space of orbifold line bundles over a spindle (bolt). The conformal boundary is generically a squashed, branched, lens space and the graviphoton gauge field can have either twist or anti-twist through the spindle bolt. Correspondingly, the boundary geometry inherits two types of rigid Killing spinors, that we refer to as twist and anti-twist for the three-dimensional Seifert orbifolds, as well as some specific flat connections for the background gauge field, determined by the data of the spindle bolt. For all our solutions we compute the holographically renormalized on-shell action and compare it to the expression obtained via equivariant localization, uncovering a markedly distinct behaviour in the cases of twist and anti twist. Our results provide precise predictions for the large $N$ limit of the corresponding localized partition functions of three-dimensional $\mathcal{N}=2$ superconformal field theories placed on Seifert orbifolds.
Forward citations
Cited by 7 Pith papers
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CFTs on Squashed Spheres and the Thermal Effective Action
Derives universal quadratic response of 3D CFT free energy to S^3 squashing proportional to c_T and constructs thermal effective action for high-T Seifert manifolds with explicit Wilson coefficients.
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Probing black holes with equivariant localization
Equivariant localization computes probe D3-brane actions in uplifted Kerr-Newman-AdS5 supergravity backgrounds, reducing them to toric-data integrals for SCFT indices.
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Supersymmetric $\mathbb{WCP}^n$, AdS near horizons and orbifolds
Weighted projective spaces WCP² and WCP³ can be made supersymmetric for tuned integer weights, yielding new AdS₅×WCP²×S¹, AdS₄×WCP³, and AdS₃×WT(1,1) supergravity solutions.
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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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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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Localisation of $\mathcal{N} = (2,2)$ theories on spindles of both twists
A general formula is derived for the exact partition function of abelian vector and charged chiral multiplets on both twisted and anti-twisted spindles.
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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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