On Decay of K-theory
arXiv:hep-th/0212059
Abstract
Closed string tachyon condensation resolves the singularities of nonsupersymmetric orbifolds, however the resolved space typically has fewer D-brane charges than that of the orbifold. The description of the tachyon condensation process via a gauged linear sigma model enables one to track the topology as one passes from the sigma model's ``orbifold phase'' to its resolved, ``geometric phase,'' and thus to follow how the D-brane charges disappear from the effective spacetime dynamics. As a mathematical consequence, our results point the way to a formulation of a ``quantum McKay correspondence'' for the resolution of toric orbifold singularities.
52 pages (harvmac), 7 eps figures
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- Things Fall Apart: Topology Change from Winding Tachyons
- Defects and Bulk Perturbations of Boundary Landau-Ginzburg Orbifolds
- Black Holes, Instanton Counting on Toric Singularities and q-Deformed Two-Dimensional Yang-Mills Theory
- K-Theory from a physical perspective
- The long flow to freedom
- D-branes, orbifolds, and Ext groups
- Localized Tachyons and the Quantum McKay Correspondence
- The Coulomb Branch in Gauged Linear Sigma Models
- On tachyons, gauged linear sigma models, and flip transitions
- Profiling the Brane Drain in a Nonsupersymmetric Orbifold
- Closed String Tachyons, Non-Supersymmetric Orbifolds and Generalised McKay Correspondence
- Comments on the Fate of unstable orbifolds
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- On Localized Tachyon Condensation in $\BC^2/\BZ_n$ and $\BC^3/\BZ_n$
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- On nonsupersymmetric $\BC^4/\BZ_N$, tachyons, terminal singularities and flips
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