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Fusion of interfaces in Landau-Ginzburg models: a functorial approach

Journal of High Energy Physics volume 2021, Article number: 235 (2021) Cite this article

A preprint version of the article is available at arXiv.

Abstract

We investigate the fusion of B-type interfaces in two-dimensional supersymmetric Landau-Ginzburg models. In particular, we propose to describe the fusion of an interface in terms of a fusion functor that acts on the category of modules of the underlying polynomial rings of chiral superfields. This uplift of a functor on the category of matrix factorisations simplifies the actual computation of interface fusion. Besides a brief discussion of minimal models, we illustrate the power of this approach in the SU(3)/U(2) Kazama-Suzuki model where we find fusion functors for a set of elementary topological defects from which all rational B-type topological defects can be generated.

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Authors and Affiliations

  1. Université de Paris, CNRS, Institut de Recherche en Informatique Fondamentale, 8 Place Aurelie Nemours, 75205, Cedex 13, Paris, France

    Nicolas Behr

  2. University of Vienna, Faculty of Physics, Boltzmanngasse 5, 1090, Vienna, Austria

    Stefan Fredenhagen

  3. Erwin Schrödinger International Institute for Mathematics and Physics, University of Vienna, Boltzmanngasse 9, 1090, Vienna, Austria

    Stefan Fredenhagen

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  1. Nicolas Behr
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  2. Stefan Fredenhagen
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Correspondence to Stefan Fredenhagen.

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ArXiv ePrint: 2012.14225

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Behr, N., Fredenhagen, S. Fusion of interfaces in Landau-Ginzburg models: a functorial approach. J. High Energ. Phys. 2021, 235 (2021). https://doi.org/10.1007/JHEP04(2021)235

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  • DOI: https://doi.org/10.1007/JHEP04(2021)235

Keywords

  • Conformal Field Models in String Theory
  • D-branes
  • Field Theories in Lower Dimensions
  • Topological Field Theories