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Working paper

Supersymmetric Semisimple Cardy-Frobenius Algebras

math.arxiv. arXiv:1504.07930. Cornell University, 2015
Cardy-Frobenius algebra is the algebraic structure on the space of states in open-closed topological field theory. We prove that every semisimple super Cardy-Frobenius algebras is the direct sum of the super Cardy-Frobenius algebras of three simple types. We also apply our results to singularity theory via Landau-Ginzburg models and matrix factorizations.