Spindle black holes in AdS4 × SE7
Kiril Hristov, Minwoo Suh
Abstract
A bstract We construct new classes of supersymmetric AdS 2 × Σ solutions of 4d gauged supergravity in presence of charged hypermultiplet scalars, with Σ the complex weighted projective space known as a spindle . These solutions can be viewed as near-horizon geome- tries of asymptotically Anti de-Sitter (AdS 4 ) black holes with magnetic fluxes that admit embedding in 11d on Sasaki-Einstein (SE 7 ) manifolds, which renders them of holographic interest. We show that in each case the Bekenstein-Hawking entropy follows from the procedure of gluing two gravitational blocks, ultimately determined by SE 7 data. This allows us to establish the general form of the gravitational blocks in gauged 4d $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 supergravity with charged scalars and massive vectors. Holographically, our results provide a large N answer for the spindle index with anti-twist and additional mesonic or baryonic fluxes of a number of $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 Chern-Simons-matter theories.