Two-Dimensional Black Hole and Singularities of CY Manifolds

TL;DR

This paper investigates the degenerating limits of superconformal theories on singular K3 and Calabi-Yau threefolds, revealing the formation of 2D black holes and connections to non-critical strings, advancing understanding of string compactifications.

Contribution

It uncovers the emergence of 2D black holes in degenerating limits and links singularities in Calabi-Yau manifolds to known string theories, providing new insights into their structure.

Findings

Degeneration involves creating Euclidean 2D black holes.

Conformal theories of A_n singularities match those of symmetric fivebranes.

Connections established between ADE non-critical strings and ALE space limits.

Abstract

We study the degenerating limits of superconformal theories for compactifications on singular K3 and Calabi-Yau threefolds. We find that in both cases the degeneration involves creating an Euclidean two-dimensional black hole coupled weakly to the rest of the system. Moreover we find that the conformal theory of A_n singularities of K3 are the same as that of the symmetric fivebrane. We also find intriguing connections between ADE (1,n) non-critical strings and singular limits of superconformal theories on the corresponding ALE space.