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Open descendants of non-diagonal invariants
Huiszoon, Lennaert; Schellekens, Adrianus; Sousa, NunoThe open descendants of simple current automorphism invariants are constructed. We consider the case where the order of the current is two or odd. We prove that our solutions satisfy the completeness conditions, positivity and integrality of the open and closed sectors and the Klein bottle constraint (apart from an interesting exception). In order to do this, we derive some new relations between the tensor Y an...
Klein bottles and simple currents
Huiszoon, Lennaert; Schellekens, Adrianus; Sousa, NunoThe standard Klein bottle coefficient in the construction of open descendants is shown to equal the Frobenius-Schur indicator of a conformal field theory. Other consistent Klein bottle projections are shown to correspond to simple currents. These observations enable us to generalize the standard open string construction from C-diagonal parent theories to include non-standard Klein bottles. Using (generalization...
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