Routing protocol

Physics

Pure mathematics

Computer network

Mathematics

Mathematical physics

String theory

Black hole (networking)

Brane cosmology

Moduli space

Link-state routing protocol

Entropy (arrow of time)

Supersymmetry

Riemann surface

Geometry

Twist

Partition function (quantum field theory)

Theoretical physics

Computer science

Quantum mechanics

Routing (electronic design automation)

Supergravity

Journal of High Energy Physics

Many three-dimensional $\mathcal{N}=2$ SCFTs admit a universal partial topological twist when placed on hyperbolic Riemann surfaces. We exploit this fact to derive a universal formula which relates the planar limit of the topologically twisted index of these SCFTs and their three-sphere partition function. We then utilize this to account for the entropy of a large class of supersymmetric asymptotically AdS$_4$ magnetically charged black holes in M-theory and massive type IIA string theory. In this context we also discuss novel AdS$_2$ solutions of eleven-dimensional supergravity which describe the near horizon region of large new families of supersymmetric black holes arising from M2-branes wrapping Riemann surfaces.

A universal counting of black hole microstates in AdS4