Closed string tachyons, non-symmetric orbifolds and generalized McKay correspondence

Abstract

We study closed string tachyon condensation on general non-super-symmetric orbifolds of C². Extending previous analyses on Abelian cases, we present the classification of quotients by discrete finite subgroups of GL(2;C) as well as the generalised Hirzebruch-Jung continued fractions associated with the resolution data. Furthermore, we discuss the intimate connexions with certain generalised versions of the McKay Correspondence.