  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 the
string effective action after doing uncertainties $\Lambda^{-2}\times
\Lambda^2$. For the Polyakov string these anomalies precisely reproduce at one
loop the result of KPZ-DDK obtained for the Liouville theory by the conformal
field theory technique. For the Nambu-Goto string I find a deviation from this
result which shows that the two string formulations may differ.
