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Supersymmetric Semisimple Cardy-Frobenius Algebras

Algebraic Topology 2015-04-30 v1 Mathematical Physics 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.

Keywords

Cite

@article{arxiv.1504.07930,
  title  = {Supersymmetric Semisimple Cardy-Frobenius Algebras},
  author = {A. Ionov},
  journal= {arXiv preprint arXiv:1504.07930},
  year   = {2015}
}