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Lorentzian signature D-branes of all dimensions for the Nappi-Witten string are constructed. This is done by rewriting the gluing condition J+ = FJ− for the model chiral currents on the brane as a well posed first order differential problem and by solving it for Lie algebra isometries F other than Lie algebra automorphisms. By construction, these D-branes are not twined conjugacy classes. Metrically...
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