ar X iv : g r - qc / 9 80 70 27 v 1 1 1 Ju l 1 99 8 Higher - dimensional geometric σ - models
نویسنده
چکیده
Geometric σ-models have been defined as purely geometric theories of scalar fields coupled to gravity. By construction, these theories possess arbitrarily chosen vacuum solutions. Using this fact, one can build a Kaluza–Klein geometric σ-model by specifying the vacuum metric of the form M 4 × B d. The obtained higher dimensional theory has vanishing cosmological constant but fails to give massless gauge fields after the dimensional reduction. In this paper, a modified geometric σ-model is suggested, which solves the above problem.
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