Supersymmetric quantum mechanics from wrapped branes

We explicitly construct a solution of eight-dimensional gauged supergravity representing D6-branes wrapped on six-cycles inside Calabi–Yau fourfolds. The solution preserves two supercharges and asymptotically is a cone with the coset space <f>SU(2)4/U(1)3</f> as its base. It is shown to correspond to an M-theory compactification on a Calabi–Yau manifold with <f>SU(5)</f> holonomy and we discuss in detail its geometrical and topological features. We also construct a family of related higher-dimensional metrics having <f>SU(n+1)</f> holonomy, which of course have no brane interpretation. [Copyright &y& Elsevier]