Exact partition functions for N=(2,2) theories on spindles are computed via localisation for both twist and anti-twist, yielding a unified formula.
Ferrero,D6 branes wrapped on a spindle and Yp,q manifolds,JHEP05(2024) 182, [arXiv:2403.03988]
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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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Classification of supersymmetric AdS3 solutions in 7d supergravity yielding M5-brane wrappings on WCP2 and spindle fibrations, with central charges matched via holography and c-extremization.
New classes of supersymmetric AdS₂×Σ spindle solutions with hyperscalars are constructed in D=4 STU gauged supergravity and uplifted to smooth AdS₂×Y₉ solutions in D=11 supergravity.
citing papers explorer
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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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M5 branes wrapping $\mathbb{WCP}^2$ and spindles fibred over constant curvature Riemann surfaces
Classification of supersymmetric AdS3 solutions in 7d supergravity yielding M5-brane wrappings on WCP2 and spindle fibrations, with central charges matched via holography and c-extremization.
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Spindle solutions with hyperscalars in $D=4$ gauged supergravity
New classes of supersymmetric AdS₂×Σ spindle solutions with hyperscalars are constructed in D=4 STU gauged supergravity and uplifted to smooth AdS₂×Y₉ solutions in D=11 supergravity.