Classical and Quantum Mechanics of a Spinning Particle Interacting withBackground Fields

摘要

The most general supersymmetric theory is examined. Interactions of a spinningparticle with the gravitational field and with other types of background fields are considered. The canonical analysis of the theories examined is performed, and their invariance is established. The generalization of results to higher derivative theories is discussed. The index theorem for the corresponding Dirac operator is extended to take into account the effect of additional background fields, and in particular the effect of exact torsion forums.