U(N|M) quantum mechanics on Kaehler manifolds

Details U(N|M) quantum mechanics on Kaehler manifolds U(N|M) quantum mechanics on Kaehler manifolds

2010-03-04

arxiv.org/abs/1003.1046v2

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, a reference added

Scientific paper

We study the extended supersymmetric quantum mechanics, with supercharges transforming in the fundamental representation of U(N|M), as realized in certain one-dimensional nonlinear sigma models with Kaehler manifolds as target space. We discuss the symmetry algebra characterizing these models and, using operatorial methods, compute the heat kernel in the limit of short propagation time. These models are relevant for studying the quantum properties of a certain class of higher spin field equations in first quantization.

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