2025/11/24 by Conti, Andrea, Macpherson, Niall T.
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2511.19624
We construct and study the supersymmetry properties of the weighted projective spaces \mathbbWCP2 and \mathbbWCP3. These are topologically \mathbbCPn with n+1 orbifold singularities and as such are higher dimensional analogues of the ``spindle'' or \mathbbWCP1. We use these to construct interesting supersymmetric orbifolds of canonical near horizon geometries of relevance to the AdS/CFT correspondence. Interestingly, for certain tunings of their integer weights, and unlike the spindle, round \mathbbWCP2 and \mathbbWCP3 are compatible with supersymmetry beyond the realm of gauged supergravity. This allows one to construct interesting supersymmetric solutions in type II supergravity such as AdS5×\mathbbWCP2\timesS1 and AdS4× \mathbbWCP3 via duality. We also leverage our results to construct a supersymmetric AdS3 solution containing a topological \mathbbT(1,1) space with 4 orbifold singularities.