Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke



Publications [#243304] of Paul S. Aspinwall

Papers Published

  1. Aspinwall, PS, Topological D-branes and commutative algebra, Communications in Number Theory and Physics, vol. 3 no. 3 (January, 2009), pp. 445-474, International Press of Boston, ISSN 1931-4523 [hep-th/0703279], [doi]
    (last updated on 2019/06/25)

    We show that questions concerning the topological B-model on a Calabi-Yau manifold in the Landau-Ginzburg phase can be rephrased in the language of commutative algebra. This yields interesting and very practical methods for analyzing the model. We demonstrate how the relevant "Ext" groups and superpotentials can be computed efficiently by computer algebra packages such as Macaulay. This picture leads us to conjecture a general description of D-branes in linear sigma models in terms of triangulated categories. Each phase of the linear sigma model is associated with a different presentation of the category of D-branes.
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320