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VOLUME 42 (1985) | ISSUE 10 | PAGE 432
String theories without two-dimensional anomalies
The conditions for the cancellation of the Weyl and Lorentz anomalies in the two-dimensional chiral supergravities are analyzed. Three anomaly-free theories which have a two-dimensional supersymmetry N = l/2,N = 1 + +, and N = 3/2+ + _ and which correspond to the string theories with critical dimensions D = 10 (heterotic string), D = 2, andD = 2, respectively, are found to exist.