Topological D-Branes and Commutative Algebra

Details Topological D-Branes and Commutative Algebra Topological D-Branes and Commutative Algebra

2007-03-29

arxiv.org/abs/hep-th/0703279v2

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, refs added

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Topological D-Branes and Commutative Algebra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Topological D-Branes and Commutative Algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological D-Branes and Commutative Algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-711225