Abstract
Preliminary stability calculations are presented for a simple higher-dimensional theory containing a totally antisymmetric matter field. It is shown that the Witten instability found for the original five-dimensional Kaluza-Klein theory does not have a simple generalization. It is also shown that ground states constructed from a Freund-Rubin type ansatz (for the non-supersymmetric case) may be classically unstable against small perturbations.
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