Algorithmic deformation of matrix factorisations

Details Algorithmic deformation of matrix factorisations Algorithmic deformation of matrix factorisations

2011-12-14

arxiv.org/abs/1112.3352v1

Physics

High Energy Physics

High Energy Physics - Theory

30 pages

Scientific paper

Branes and defects in topological Landau-Ginzburg models are described by matrix factorisations. We revisit the problem of deforming them and discuss various deformation methods as well as their relations. We have implemented these algorithms and apply them to several examples. Apart from explicit results in concrete cases, this leads to a novel way to generate new matrix factorisations via nilpotent substitutions, and to criteria whether boundary obstructions can be lifted by bulk deformations.

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