Exact partition functions for N=(2,2) theories on spindles are computed via localisation for both twist and anti-twist, yielding a unified formula.
BBBW on the spindle
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abstract
We study the spindle compactification of families of AdS$_5$ consistent truncations corresponding to M5 branes wrapped on complex curves in Calabi-Yau three-folds. From the AdS/CFT correspondence these models are dual to $\mathcal{N}=1$ SCFTs obtained by gluing of $T_N$ blocks. The truncations considered here have both vector and hyper multiplets and the analysis of the BPS equations on the spindle allows to extract the central charges. Such analysis gives also consistency conditions for the existence of the solutions. The solutions are then found both analytically and numerically for opportune choices of the charges for some sub-families of truncations. We then compare our results with the one expected from the field theory side, by integrating the anomaly polynomial.
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hep-th 3years
2026 3roles
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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.