Mathematics Colloquia and Seminars

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Inspired by the observation that many physical systems can be better understood embedding them on an higher dimensional cone C(M) over the original target space M, we will present curved space (supersymmetric)-quantum mechanical models over C(M) projected to the base manifold. When one studies non supersymmetric sigma models, gauging the cone isometries produce the ”quotiented” model moving over the base manifold. We will extend that result introducing worldline supersymmetry. We will focus our attention on quaternionic spinning particles since these models derive from the radial quantization of stationary, spheri- cally symmetric black holes of four dimensional N = 2 supergravities.