Klein Bottles and Simple Currents

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, LaTeX. References added, minor error corrected

Scientific paper

10.1016/S0370-2693(99)01241-1

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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