Klein Bottles and Simple Currents

@inproceedings{Huiszoon1999KleinBA,
  title={Klein Bottles and Simple Currents},
  author={L. R. Huiszoon and A. Schellekens and Nuno Manuel Frade de Sousa},
  year={1999}
}
The 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 (generalizations of) the Frobenius-Schur indicator we prove positivity and integrality of the… CONTINUE READING
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