Critical dimension of string theories in curved space

Dennis Nemeschansky, Shimon Yankielowicz

Research output: Contribution to journalArticlepeer-review


The critical dimension of string theories in which the background metric is a product of Minkowski space and an SU(N) or SO(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 string tension. A generalization to the supersymmetric case is discussed.

Original languageEnglish
Pages (from-to)620-623
Number of pages4
JournalPhysical Review Letters
Issue number7
StatePublished - 1985


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