Flow of Geometries and Instantons on the Null Orbifold

TL;DR

This paper investigates the dynamics of null orbifold geometries, showing how twisted sector states condense and lead to a flow towards a $Z_N$ orbifold, while addressing quantization challenges in this setting.

Contribution

It provides new insights into the condensation process of twisted states and the geometric flow from null orbifolds to $Z_N$ orbifolds, including quantization subtleties.

Findings

Null orbifold flows to $Z_N$ orbifold.

Evidence of twisted sector condensation.

Comments on superstring quantization issues.

Abstract

We study condensation of twisted sector states in the null orbifold geometry. As the singularity is time-dependent, we probe it using D-Instantons. We present evidence that the null-orbifold flows to the $Z_N$ orbifold. We also comment on the subtleties of quantizing the closed superstring in this background.