Quivers from Matrix Factorizations

Journal Article (Journal Article)

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 ℙ 1 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. © 2012 Springer-Verlag.

Full Text

Duke Authors

Cited Authors

  • Aspinwall, PS; Morrison, DR

Published Date

  • August 1, 2012

Published In

Volume / Issue

  • 313 / 3

Start / End Page

  • 607 - 633

Electronic International Standard Serial Number (EISSN)

  • 1432-0916

International Standard Serial Number (ISSN)

  • 0010-3616

Digital Object Identifier (DOI)

  • 10.1007/s00220-012-1520-1

Citation Source

  • Scopus