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CONES, COMPLEX CONES AND QUATERNIONIC CONESQMAP Seminar
|Speaker: ||Emanuele Latini, UCDavis|
|Location: ||3240 MSB|
|Start time: ||Wed, Nov 3 2010, 4:10PM|
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.