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

  • Regular Article - Theoretical Physics
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  • Published: 23 April 2021
  • volume 2021, Article number: 235 (2021)
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Fusion of interfaces in Landau-Ginzburg models: a functorial approach
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  • Nicolas Behr  ORCID: orcid.org/0000-0002-8738-50401 &
  • Stefan Fredenhagen  ORCID: orcid.org/0000-0002-5744-85812,3 

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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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Author information

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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Cite this article

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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  • Received: 18 January 2021

  • Accepted: 26 March 2021

  • Published: 23 April 2021

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

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Keywords

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