Fusion of interfaces in Landau-Ginzburg models: a functorial approach
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.
Keywords
Cite
@article{arxiv.2012.14225,
title = {Fusion of interfaces in Landau-Ginzburg models: a functorial approach},
author = {Nicolas Behr and Stefan Fredenhagen},
journal= {arXiv preprint arXiv:2012.14225},
year = {2021}
}
Comments
40 pages; v2: Added a proof for the structure of successive fusion of D1 in appendix B.5