U(N|M) quantum mechanics on Kaehler manifolds

Understand

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.