Black Hole Microstate Counting and its Macroscopic Counterpart

TL;DR

This paper reviews recent advances in counting black hole microstates in N=4 string theories and compares microscopic results with macroscopic descriptions via AdS_2/CFT_1, including detailed corrections and quantum number distributions.

Contribution

It provides a comprehensive comparison between microscopic dyon spectrum calculations and macroscopic entropy analysis in N=4 theories, incorporating quantum corrections.

Findings

Agreement between microscopic and macroscopic entropy calculations

Identification of power suppressed and logarithmic corrections

Analysis of the twisted index and quantum number distribution

Abstract

We survey recent results on the exact dyon spectrum in a class of N=4 supersymmetric string theories, and discuss how the results can be understood from the macroscopic viewpoint using AdS_2/CFT_1 correspondence. The comparison between the microscopic and the macroscopic results includes power suppressed corrections to the entropy, the sign of the index, logarithmic corrections and also the twisted index measuring the distribution of discrete quantum numbers among the microstates.