A quantum mechanics for magnetic horizons

The large N limit of topologically twisted indices: a direct approach

“…Then, the chiral contribution (3.13) and the full integrand of the refined index (2.1) become a local functional of ρ(t), v a (t), n(t), and p a (t) that we will be able to extremize directly. The explicit details are given in appendices A and D. One of the advantage of the direct method is that it provides the distribution of magnetic fluxes that dominates the index at large N and that can be useful for understanding the quantum mechanics obtained by a dimensional reduction on a sphere, whose ground states are supposed to reproduce the entropy of magnetically charged black holes in AdS 4 [11].…”

“…One of the advantages of the direct method is that it provides the distribution of magnetic fluxes that dominates the index at large N . This can be useful for understanding the quantum mechanics obtained by a dimensional reduction on the sphere [11].…”