On Localized Tachyon Condensation in $\BC^2/\BZ_n$ and $\BC^3/\BZ_n$

TL;DR

This paper investigates localized tachyon condensation in non-supersymmetric orbifolds of complex spaces, analyzing decay processes and gauged linear sigma models to understand the underlying physics.

Contribution

It introduces a framework connecting decay features of $ ext{C}^3/ ext{Z}_n$ orbifolds to those of $ ext{C}^2/ ext{Z}_n$, providing new insights into tachyon condensation mechanisms.

Findings

Decay features of $ ext{C}^3/ ext{Z}_n$ orbifolds can be realized via $ ext{C}^2/ ext{Z}_n$ orbifolds.

Gauged linear sigma models effectively describe localized tachyon condensation.

The study enhances understanding of non-supersymmetric orbifold decay processes.

Abstract

We study some aspects of localized tachyon condensation on non-supersymmetric orbifolds of the form $\BC^2/\BZ_n$ and $\BC^3/\BZ_n$. We discuss the gauged linear sigma models for these orbifolds. We show how several features of the decay of orbifolds of $\BC^3$ can be realised in terms of orbifolds of $\BC^2$.