Abstract

A bosonic string with D spacetime dimensions, R right-moving internal scalars and L left-moving ones can be quantized canonically and is free from local anomaliesif R= L=26− D. Actions for such string theories can be written using Siegel's action for chiral bosons, but anomaly cancellation requires D=0, R= L=26. An action is presented that describes chiral string theories provided R= L=26− D and the physical spectrum is shown to be identical to that of the canonically constructed theory. Supersymmetry, curved backgrounds and global anomalies are briefly discussed.

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