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Rotating multi-charge spindles and their microstates. (English) Zbl 1468.83048

Summary: Some \( \mathrm{AdS}_3 \times M_7\) 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 \( \mathrm{AdS}_5 \times S^5\) 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.

MSC:

83E30 String and superstring theories in gravitational theory
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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