Extending recent N = 1 and N = 2 results, we propose an explicit formu
la for the integration measure on the moduli space of charge-n ADHM mu
lti-instantons in N = 4 supersymmetric SU(2) gauge theory. As a consis
tency check, we derive a renormalization group relation between the N
= 4, N = 2, and N = 1 measures. We then use this relation to construct
the purely bosonic (''N = 0'') measure as well, in the classical appr
oximation in which the one-loop small-fluctuations determinants is not
included. (C) 1998 Elsevier Science B.V.