King’s College, London, UK
Supersymmetric index of black holes and black strings

Abstract: The supersymmetric index of a microscopic theory has a macroscopic dual formulation in terms of a gravitational path integral. I will discuss supersymmetric non-extremal (“finite-temperature”) saddle-points of this gravitational index. I will show how a class of 5d solutions can be constructed using the 4d-5d lift. These solutions compute the index of black holes and black strings in asymptotically flat 5d space, even in the absence of an AdS near-horizon region. I will then present a novel decoupling limit of the black string solution in the limit that the 5d temperature vanishes, which gives a finite-temperature BTZ black hole that computes the index in AdS3/CFT2.