2025/09/02 by Bobev, Nikolay, David, Marina, Dimitrov, Vasil +1 · 1 citation
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2509.02833
We present a detailed study of the regularized on-shell action of the recently found asymptotically AdS7 black hole supergravity solution with three angular momenta and two electric charges. We show that a particular choice of finite counterterms in the holographic renormalization procedure yields a result for the on-shell action of the supersymmetric limit of the black hole solution which is in perfect agreement with the large N limit of the superconformal index of the dual 6d N=(2,0) AN SCFT on S1× S5. We also discuss a generalization of this 7d supergravity background to a new general family of black holes with horizons given by the Lp,q,r 5d Sasaki-Einstein manifolds. The regularized on-shell action of these new 7d black holes is also in agreement with supersymmetric localization results for the 6d N=(2,0) SCFT on S1× Lp,q,r. Finally, we briefly discuss a generalization of known AdS5 gauged supergravity backgrounds to new 5d black holes with L(p,q) lens space horizon topologies.