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Algorithmic deformation of matrix factorisations

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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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Authors and Affiliations

  1. LMU München, Theresienstraße 37, D-80333, München, Germany

    Nils Carqueville

  2. Universe Cluster, Boltzmannstraße 2, D-85748, Garching, Germany

    Nils Carqueville

  3. Department of Mathematics, King’s College London, Strand, London, WC2R 2LS, UK

    Laura Dowdy & Andreas Recknagel

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  1. Nils Carqueville
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  2. Laura Dowdy
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  3. Andreas Recknagel
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Correspondence to Nils Carqueville.

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ArXiv ePrint: 1112.3352

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Carqueville, N., Dowdy, L. & Recknagel, A. Algorithmic deformation of matrix factorisations. J. High Energ. Phys. 2012, 14 (2012). https://doi.org/10.1007/JHEP04(2012)014

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