A random surface theory with non-trivial $\gamma_{string}$

We measure by Monte Carlo simulations \g_{string} for a model of random surfaces embedded in three dimensional Euclidean space-time. The action of the string is the usual Polyakov action plus an extrinsic curvature term. The system undergoes a phase transition at a finite value \l_c of the extrinsic curvature coupling and at the transition point the numerically measured value of \g_{string}(\l_c) \approx 0.27\pm 0.06. This is consistent with \g_{string}(\l_c)=1/4, i.e. equal to the first of the non-trivial values of \g_{string} between 0 and 1/2