The Non-connected Graded Frobenius Algebra and Twisted Superpotential

Abstract

The authors discuss the connection between the twisted superpotentials and the non-connected graded Frobenius algebras. It is proved that they can construct a non-connected graded Frobenius algebra from a twisted superpotential. The skew group algebra A#G of a connected graded Frobenius algebra A with a finite subgroup G of the graded algebra automorphism group GrAut(A) can be seen as a non-connected graded Frobenius algebra. The twisted superpotential of A#G is explicitly constructed.

Keywords

Graded Frobenius algebra / Twisted superpotential / Cotensor coalgebra / Skew group algebra / σ-Determinant / 16W55 / 16D20

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