We study an exchange interaction in which conduction electrons with ps
eudospin S-c=3/2 interact with the impurity spin S-l=1/2. Due to the o
verscreening of the impurity spin by higher conduction electron spin,
a nontrivial intermediate-coupling-strength fixed point is realized. U
sing the numerical renormalization group (NRG), we show that the low-e
nergy spectra are described by a non-Fermi-liquid excitation spectrum.
A conformal field theory analysis is compared with NRG results and ex
cellent agreement is obtained. Using the double-fusion rule to generat
e the operator spectrum with the conformal theory, we find that the sp
ecific heat coefficient and magnetic susceptibility will diverge as T-
2/3, that the scaling dimension of an applied magnetic field is 5/6, a
nd that exchange anisotropy is always relevant. We discuss the possibl
e relevance of our work to two-level-system Kondo materials and dilute
cerium alloys, and we point out a paradox in understanding the Bethe-
ansatz solutions to the multichannel Kondo model.