Comments on the Fate of unstable orbifolds

Details Comments on the Fate of unstable orbifolds Comments on the Fate of unstable orbifolds

2003-08-05

arxiv.org/abs/hep-th/0308028v1

Phys.Lett. B578 (2004) 215-222

Physics

High Energy Physics

High Energy Physics - Theory

14 page, 2 figures

Scientific paper

We study the localized tachyon condensation in their mirror Landau-Ginzburg picture. We completely determine the decay mode of an unstable orbifold $C^r/Z_n$, $r=1,2,3$ under the condensation of a tachyon with definite R-charge and mass by extending the Vafa's work hep-th/0111105. Here, we give a simple method that works uniformly for all $C^r/Z_n$. For $C^2/Z_n$, where method of toric geometry works, we give a proof of equivalence of our method with toric one. For $C^r/Z_n$ cases, the orbifolds decay into sum of $r$ far separated orbifolds.

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