paper

Exoflops in Two Dimensions

arXiv:1412.0612

Abstract

An exoflop occurs in the gauged linear -model by varying the Kahler form so that a subspace appears to shrink to a point and then reemerge "outside" the original manifold. This occurs for K3 surfaces where a rational curve is "flopped" from inside to outside the K3 surface. We see that whether a rational curve contracts to an orbifold phase or an exoflop depends on whether this curve is a line or conic. We study how the D-brane category of the smooth K3 surface is described by the exoflop and, in particular, find the location of a massless D-brane in the exoflop limit. We relate exoflops to noncommutative resolutions.

19 pages

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