Abstract
We extract the leading-order entropy of a four-dimensional extremal black hole in N=2 ungauged supergravity by formulating the CFT1 that is holographically dual to its near-horizon AdS2 geometry, in terms of a rational Calogero model with a known counting formula for the degeneracy of states in its Hilbert space.
Highlights
A successful statistical mechanical description of black-hole microstates constitutes one of the most precise tests of any purported theory of quantum gravity such as string theory
We look at the induced worldline superconformal quantum mechanics of an n-particle BPS system moving in the background of a black-hole in AdS2
This quantum mechanics has a reformulation [3] in terms of an n-particle rational Calogero model,1 and we argue that this encodes the thermal-ensemble states corresponding to the black hole in the holographically dual CFT1
Summary
A successful statistical mechanical description of black-hole microstates constitutes one of the most precise tests of any purported theory of quantum gravity such as string theory. We look at the induced worldline superconformal quantum mechanics of an n-particle BPS system moving in the background of a black-hole in AdS2 This quantum mechanics has a reformulation [3] in terms of an n-particle rational Calogero model (of type An−1), and we argue that this encodes the thermal-ensemble states corresponding to the black hole in the holographically dual CFT1. We justify this assertion by counting the large-charge degeneracy of states in this model to arrive at the Bekenstein–Hawking entropy of the dual black hole in AdS2
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
