Critical dimension of string theories in curved space

Physics

Scientific paper

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Classical General Relativity, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Supergravity, Cosmology

Scientific paper

The critical dimension of string theories in which the background metric is a product of Minkowski space and an SU(N) or O(N) group manifold is derived. A consistent string theory can be constructed only in the presence of a Wess-Zumino term associated with the compactified dimension. This implies that the compactified radius is quantized in units of the strong tension. A generalization to the supersymmetric case is discussed.

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