Publications [#184216] of Paul S Aspinwall

Papers Submitted

1. P.S. Aspinwall and D.R. Morrison, Quivers from Matrix Factorizations, Commun Math Phys (May, 2010) [arXiv:1005.1042]
   (last updated on 2010/12/15)

   Abstract:
   We discuss how matrix factorizations offer a practical method of computing the quiver and associated superpotential for a hypersurface singularity. This method also yields explicit geometrical interpretations of D-branes (i.e., quiver representations) on a resolution given in terms of Grassmannians. As an example we analyze some non-toric singularities which are resolved by a single CP1 but have "length" greater than one. These examples have a much richer structure than conifolds. A picture is proposed that relates matrix factorizations in Landau-Ginzburg theories to the way that matrix factorizations are used in this paper to perform noncommutative resolutions.