Comments on the Fate of unstable orbifolds

Abstract

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.

14 page, 2 figures

References in corpus (3)

• On Decay of K-theory
• Closed String Tachyons and RG flows
• Closed String Tachyons, Non-Supersymmetric Orbifolds and Generalised McKay Correspondence

Cited by in corpus (9)

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• Localized Tachyons and the Quantum McKay Correspondence
• Localized tachyons in C^3/Z_N
• On tachyons, gauged linear sigma models, and flip transitions
• Off-Shell Interactions for Closed-String Tachyons
• On nonsupersymmetric $\BC^4/\BZ_N$, tachyons, terminal singularities and flips
• Closed string tachyon potential and $t{t}^{\ast }$ equation
• Localized tachyon condensation and G-parity conservation
• Toda systems in closed string tachyon condensation