Kaehler fermions in arbitrary space-times, their dimensional reduction, and relation to spinorial fermions
It is shown how, with suitable definitions of covariant derivatives, actions, etc., one can formulate the theory of fermions in arbitrary space-times using Kaehler fields (inhomogeneous differential forms) in such a way that it is p-italicr-italice-italicc-italici-italics-italice-italicl-italicy-italic equivalent to the usual spinor formalism for fermions. This will allow one to formulate arbitrary theories involving bosons and/or fermions purely in terms of tensor fields. The special difficulties encountered in exhibiting the spinor-Kaehler equivalence in odd umbers of dimension are dealt with explicity, and the dimensional reduction of the Kaehler fields (and their corresponding projection operators) is discussed in detail. In order to illustrate the use of the formalism, a detailed analysis of the five-dimensional Kaehler-Kaluza-Klein theory is presented.
- Research Organization:
- Department of Physics, University of Southhampton, Southhampton SO9 5NH, United Kingdom
- OSTI ID:
- 5411619
- Journal Information:
- Ann. Phys. (N.Y.); (United States), Vol. 168:2
- Country of Publication:
- United States
- Language:
- English
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