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M5-branes wrapped on a spindle
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abstract
We construct supersymmetric $AdS_5\times \Sigma$ solutions of $D=7$ gauged supergravity, where $\Sigma$ is a two-dimensional orbifold known as a spindle. These uplift on $S^4$ to solutions of $D=11$ supergravity which have orbifold singularites. We argue that the solutions are dual to $d=4$, $\mathcal{N}=1$ SCFTs that arise from $N$ M5-branes wrapped on a spindle, embedded as a holomorphic curve inside a Calabi-Yau three-fold. In contrast to the usual topological twist solutions, the superconformal R-symmetry mixes with the isometry of the spindle in the IR, and we verify this via a field theory calculation, as well as reproducing the gravity formula for the central charge.
Forward citations
Cited by 6 Pith papers
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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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An unusual BPS equation
All rotation-invariant superconformal defects satisfy CD/aT = -2(n-1)(p+2)Γ(p+1)/(n π^{p-n/2} Γ(p/2+1)Γ((n-p)/2)), proved from supersymmetric Ward identities.
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NUTs, Bolts, and Spindles
New infinite families of supersymmetric spindle-bolt solutions with branched lens-space boundaries are constructed, with on-shell actions matching equivariant localization.
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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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Monodromy Defects in Maximally Supersymmetric Yang-Mills Theories from Holography
Codimension-2 monodromy defects in p=2,3,4 maximal SYM are realized by re-interpreting spindle solutions, and their defect entanglement entropy is shown to be proportional to the ambient free energy.
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Non-conformal branes wrapped on a disk
Disk solutions from non-conformal Dp/NS5-brane spindles are classified by charge sectors; compact disks mostly show monopoles and smeared branes, while non-compact disks mostly do not.
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