Tachyon Condensation on Orbifolds and McKay Correspondence
arXiv:hep-th/0106142 · doi:10.1016/S0370-2693(01)01054-1
Abstract
In this short note we present a mathematical interpretation of tachyon condensation on (three dimensional) orbifolds within the framework of boundary string field theory (BSFT). We explicitly show that important parts of decay modes in brane-antibrane systems with N=2 boundary supersymmetry can be interpreted as the McKay correspondence described as complexes. This will give an example of the recent interpretation of D-branes as derived category. We also discuss the N=4 boundary supersymmetry as a more refined structure.
13 pages, Latex, minor typos corrected and references added, to appear in PLB