String Winding in a Black Hole Geometry

TL;DR

This paper explores string winding modes around a black hole in specific conformal field theories, revealing a double winding structure that impacts string thermodynamics and particle correlations.

Contribution

It uncovers a double set of winding modes in string theory near black holes, linking parafermionic amplitude structures to the black hole geometry.

Findings

Double winding modes are present in the Euclidean black hole geometry.

The double winding accounts for the parafermionic amplitude cut structure.

Implications for string thermodynamics and particle correlations are discussed.

Abstract

$U(1)$ zero modes in the $SL(2,R)_k/U(1)$ and $SU(2)_k/U(1)$ conformal coset theories, are investigated in conjunction with the string black hole solution. The angular variable in the Euclidean version, is found to have a double set of winding. Region III is shown to be $SU(2)_k/U(1)$ where the doubling accounts for the cut sructure of the parafermionic amplitudes and fits nicely across the horizon and singularity. The implications for string thermodynamics and identical particles correlations are discussed.