[en] We show the equivalence of three different realisations of gauge theory in string theory. These are the Hanany-Witten brane constructions, the use of branes as probes and geometric engineering. We illustrate the equivalence via T- and S-dualities with the simplest non-trivial examples in four dimensions: N=2 SYM with gauge groups ΠSU(Ni). (orig.)
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[en] We compute the principal contribution to the index in the supersymmetric quantum mechanical systems which are obtained by reduction to 0+1 dimensions of N=1, D=4,6,10 super-Yang-Mills theories with gauge group SU(N). The results are: 1/(N2) for D=4,6, sum dverticalstrokeN1/(d2) for D=10. We also discuss the D=3 case. (orig.)
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