Algorithmic deformation of matrix factorisations

Nils Carqueville; Laura Dowdy; Andreas Recknagel

doi:10.1007/JHEP04(2012)014

Algorithmic deformation of matrix factorisations

Nils Carqueville, Laura Dowdy, Andreas Recknagel

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Article number	014
Pages (from-to)	N/A
Number of pages	27
Journal	Journal of High Energy Physics
Volume	2012
Issue number	4
DOIs	https://doi.org/10.1007/JHEP04(2012)014
Publication status	Published - Apr 2012

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title = "Algorithmic deformation of matrix factorisations",

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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AB - 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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JF - Journal of High Energy Physics

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Algorithmic deformation of matrix factorisations

Abstract

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