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Supersymmetric Semisimple Cardy-Frobenius Algebras (1504.07930v1)
Published 29 Apr 2015 in math.AT, math-ph, and math.MP
Abstract: 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.
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