期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 4, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP04(2021)235
关键词
Conformal Field Models in String Theory; D-branes; Field Theories in Lower Dimensions; Topological Field Theories
This study introduces a method of describing interface fusion using fusion functors, which simplifies the computation process. In the SU(3)/U(2) Kazama-Suzuki model, fusion functors for a set of elementary topological defects were found, from which all rational B-type topological defects can be generated.
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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