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I consider higher-order terms of the Seeley expansion of the heat kernel,which for smooth metrics are suppressed as inverse powers of the UV cutoff$\Lambda$, and demonstrate how they result in an anomalous contribution to thestring effective action after doing uncertainties $\Lambda^{-2}\times\Lambda^2$. For the Polyakov string these anomalies precisely reproduce at oneloop the result of KPZ-DDK obtained for the Liouville theory by the conformalfield theory technique. For the Nambu-Goto string I find a deviation from thisresult which shows that the two string formulations may differ.

Private life of the Liouville field that causes new anomalies in the Nambu-Goto string