Math @ Duke

Publications [#243304] of Paul S. Aspinwall
Papers Published
 Aspinwall, PS, Topological Dbranes and commutative algebra,
Communications in Number Theory and Physics, vol. 3 no. 3
(2009),
pp. 445474, International Press of Boston, ISSN 19314523 [hepth/0703279], [doi]
(last updated on 2019/04/22)
Abstract: We show that questions concerning the topological Bmodel on a CalabiYau manifold in the LandauGinzburg 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 Dbranes 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 Dbranes.


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