  The exact solution of the boundary sine-Gordon model is studied in the region
where the scaling dimension of the boundary field $1 < \Delta < 1$. It is shown
that at $\Delta > 2/3$ the infrared fixed point belongs to the universality
class of the underscreened anisotropic Kondo model. The boundary contribution
to the specific heat scales as $C \sim T^{2\Delta^{-1} - 2}$ at small
temperatures.
