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Klein bottles and simple currents

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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 resulting open and closed string state multiplicities for standard as well as non-standard Klein bottles.

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Física Teoria de cordas Physics String theory

Citation

Huiszoon, Lennaert; Schellekens, Adrianus; Sousa, Nuno - Klein bottles and simple currents. "Physics Letters B" [Em linha]. ISSN 0370-2693. Vol. 470 (Dez. 1999), p. 95-102

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