We derive the current algebra of supersymmetric principal chiral model
s with a Wess-Zumino term. At the critical point one obtains two commu
ting super-affine Lie algebras as expected, but, in general, them are
intertwining fields connecting both right and left sectors, analogousl
y to the bosonic case. Moreover, in the present supersymmetric extensi
on we have a quadratic algebra, rather than an affine Lie algebra, due
to the mixing between bosonic and fermionic fields; the purely fermio
nic sector displays an affine Lie algebra as well.