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D6 branes wrapped on a spindle and $Y^{p,q}$ manifolds
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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.
Forward citations
Cited by 4 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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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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