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In this paper the partition function of N=4 D=0 super Yang-Mills matrixtheory with arbitrary simple gauge group is discussed. We explicitly computedits value for all classical groups of rank up to 11 and for the exceptionalgroups G_2, F_4 and E_6. In the case of classical groups of arbitrary rank weconjecture general formulas for the B_r, C_r and D_r series in addition to theknown result for the A_r series. Also, the relevant boundary term contributingto the Witten index of the corresponding supersymmetric quantum mechanics hasbeen explicitly computed as a simple function of rank for the orthogonal andsymplectic groups SO(2N+1), Sp(2N), SO(2N).Comment: Latex2e, 21pp; v2: minor corrections, references adde

Script N = 4 SYM matrix integrals for almost all simple gauge groups (exceptE7andE8)

Script N = 4 SYM matrix integrals for almost all simple gauge groups (exceptE₇andE₈)