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Medientyp:
E-Artikel
Titel:
Fusion of interfaces in Landau-Ginzburg models: a functorial approach
Beteiligte:
Behr, Nicolas;
Fredenhagen, Stefan
Erschienen:
Springer Science and Business Media LLC, 2021
Erschienen in:
Journal of High Energy Physics, 2021 (2021) 4
Sprache:
Englisch
DOI:
10.1007/jhep04(2021)235
ISSN:
1029-8479
Entstehung:
Anmerkungen:
Beschreibung:
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.