D6 branes wrapped on a spindle and $Y^{p,q}$ manifolds

Pietro Ferrero

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arXiv · 2403.03988

D6 branes wrapped on a spindle and $Y^{p,q}$ manifolds

Pietro Ferrero

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Abstract

We present new solutions of 8d gauged supergravity which, upon uplift to type IIA, represent D6 branes wrapped on spindles. A further circle uplift gives 11d supergravity on a Calabi-Yau three-fold which is the cone over five-dimensional $Y^{p,q}$ manifolds. This highlights a connection between co-homogeneity one Sasaki-Einstein metrics in general dimension and the recently introduced spindle solutions in gauged supergravity. We find that a similar connection also exists for the small resolution of the Calabi-Yau cone over such manifolds.

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Pietro Ferrero. 2024-03-26. D6 branes wrapped on a spindle and $Y^{p,q}$ manifolds. https://arxiv.org/abs/2403.03988

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