English

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

High Energy Physics - Theory 2024-03-28 v2

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 Yp,qY^{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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Cite

@article{arxiv.2403.03988,
  title  = {D6 branes wrapped on a spindle and $Y^{p,q}$ manifolds},
  author = {Pietro Ferrero},
  journal= {arXiv preprint arXiv:2403.03988},
  year   = {2024}
}

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28 pages