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.

F. Bastianelli, R. Bonezzi (2010). U(N|M) quantum mechanics on Kaehler manifolds. JOURNAL OF HIGH ENERGY PHYSICS, 05 (2010) 020, 1-19 [10.1007/JHEP05(2010)020].

U(N|M) quantum mechanics on Kaehler manifolds

BASTIANELLI, FIORENZO;BONEZZI, ROBERTO
2010

Abstract

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.
2010
F. Bastianelli, R. Bonezzi (2010). U(N|M) quantum mechanics on Kaehler manifolds. JOURNAL OF HIGH ENERGY PHYSICS, 05 (2010) 020, 1-19 [10.1007/JHEP05(2010)020].
F. Bastianelli; R. Bonezzi
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/89217
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