Critical dimension of strings with an extrinsic curvature

Abstract
The conformal anomaly is calculated by using the path-integral method to determine the critical dimension for a string theory with an extrinsic curvature by appropriately defining the first-order form of this Lagrangian. The critical dimension, defined by the vanishing of the Liouville kinetic term, is found to be D=26, the same as for the ordinary bosonic string theory.

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