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arXiv · 1112.3352

Algorithmic deformation of matrix factorisations

Nils Carqueville·Laura Dowdy·Andreas Recknagel
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Abstract

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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Nils Carqueville, Laura Dowdy, Andreas Recknagel. 2011-12-14. Algorithmic deformation of matrix factorisations. https://doi.org/10.1007/jhep04(2012)014

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