Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-03-04
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.
Bastianelli Fiorenzo
Bonezzi Roberto
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