Generalized Dirac operators and superconnections

Details Generalized Dirac operators and superconnections Generalized Dirac operators and superconnections

1999-11-04

arxiv.org/abs/math-ph/9911006v1

Physics

Mathematical Physics

42 pages, LaTeX2e, uses AMS fonts

Scientific paper

Motivated by the supersymmetric version of Dirac's theory, chiral models in field theory, and the quest of a geometric fundament for the Standard Model, we describe an approach to the differential geometry of vector bundles on (semi)-Riemannian manifolds based on the concepts of superspaces, superalgebras, superconnections, and generalized Dirac operators. In doing so we stay within the realm of commutative geometry.

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