Classical Hair in String Theory II: Explicit Calculations

TL;DR

This paper explores the classical space-time degrees of freedom of black holes, specifically analyzing Cvetic-Youm dyonic black holes, and explicitly identifies hair degrees of freedom transforming as an effective string.

Contribution

It provides explicit calculations linking black hole hair degrees of freedom to classical space-time features, advancing understanding of black hole microstates.

Findings

Identified hair degrees of freedom as an effective string in Cvetic-Youm black holes

Discussed charge quantization, winding, and tension renormalization issues in degree of freedom counting

Explored potential connections with D-brane models

Abstract

After emphasizing the importance of obtaining a space-time understanding of black hole entropy, we further elaborate our program to identify the degrees of freedom of black holes with classical space-time degrees of freedom. The Cveti\v{c}-Youm dyonic black holes are discussed in some detail as an example. In this example hair degrees of freedom transforming as an effective string can be identified explicitly. We discuss issues concerning charge quantization, identification of winding, and tension renormalization that arise in counting the associated degrees of freedom. The possibility of other forms of hair in this example, and the prospects for making contact with D-brane ideas, are briefly considered.