On tachyons, gauged linear sigma models, and flip transitions

Abstract

We study systems of multiple localized closed string tachyons and the phenomena associated with their condensation, in C3/ZN nonsupersymmetric noncompact orbifold singularities using gauged linear sigma model constructions, following hep-th/0406039. Our study reveals close connections between the combinatorics of nonsupersymmetric flip transitions (between topologically distinct resolutions of the original singularity), the physics of tachyons of different degrees of relevance and the singularity structure of the corresponding residual endpoint geometries. This in turn can be used to study the stability of the phases of gauged linear sigma models and gain qualitative insight into the closed string tachyon potential.

Latex, 38 pages, 7 eps figs. v2. minor modifications

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• On the Classification of 6D SCFTs and Generalized ADE Orbifolds
• Things Fall Apart: Topology Change from Winding Tachyons
• Cosmologies with Null Singularities and their Gauge Theory Duals
• The Coulomb Branch in Gauged Linear Sigma Models
• String spectra near some null cosmological singularities
• Brane Inflation, Solitons and Cosmological Solutions: I
• A quantum McKay correspondence for fractional 2p-branes on LG orbifolds
• Profiling the Brane Drain in a Nonsupersymmetric Orbifold
• Closed string tachyons, flips and conifolds
• On nonsupersymmetric $\BC^4/\BZ_N$, tachyons, terminal singularities and flips
• Phases of unstable conifolds
• Closed string tachyon potential and $t{t}^{\ast }$ equation
• On Tachyons in Generic Orbifolds of $\BC^r$ and Gauged Linear Sigma Models
• Toda systems in closed string tachyon condensation
• On Phases of Generic Toric Singularities