Exoflops in two dimensions. (English) Zbl 1388.81472

Summary: An exoflop occurs in the gauged linear \(\sigma\)-model by varying the Kähler 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.


81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory


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