Rotating multi-charge spindles and their microstates

Abstract

Some AdS${}_3\times M_7$ type IIB vacua have been recently proposed to arise from D3-branes wrapped on a spindle, a sphere with conical singularities at the poles. We explicitly construct a generalization of these solutions corresponding to a class of electrically charged and rotating supersymmetric black strings in AdS${}_5\times S^5$ with general magnetic fluxes on the spindle. We then perform a counting of their microstates using the charged Cardy formula. To this purpose, we derive the general form of the anomaly polynomial of the dual $\mathcal{N}=(0,2)$ CFT in two dimensions and we show that it can be obtained via a simple gluing procedure.

arXiv comment39 pages, v2: references added

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• M2-branes on Discs and Multi-Charged Spindles
• Equivariant localization and holography
• D3-branes and M5-branes wrapped on a topological disc
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• Factorization of log-corrections in AdS${}_4$/CFT${}_3$ from supergravity localization
• Black holes with spindles at the horizon
• 4d N=2 supergravity observables from Nekrasov-like partition functions
• Branes wrapped on orbifolds and their gravitational blocks
• D4-branes wrapped on four-dimensional orbifolds through consistent truncation
• Holographic duals of M5-branes on an irregularly punctured sphere
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• Leigh-Strassler compactified on a spindle
• The joy of factorization at large $N$: five-dimensional indices and AdS black holes
• A plethora of Type IIA embeddings for $d=5$ minimal supergravity
• On Type IIA AdS${}_3$ solutions and massive GK geometries
• M2-branes wrapped on a topological disk
• Five-branes wrapped on topological disks from 7D N=2 gauged supergravity
• $T^{1,1}$ truncation on the spindle
• Maximally symmetric nuts in 4d $\mathcal{N}=2$ higher derivative supergravity
• Holographic Generalised Gukov-Witten Defects
• Supersymmetric black holes with spiky horizons
• New supersymmetric $Ad{S}_5$ black strings from 5D $N=4$ gauged supergravity
• The topologically twisted index of $\mathcal{N}=4$ SU($N$) Super-Yang-Mills theory and a black hole Farey tail
• Supersymmetric localisation of $\mathcal{N}=(2,2)$ theories on a spindle
• M5-branes wrapped on four-dimensional orbifolds