String theory on group manifolds

Doron Gepner, Edward Witten

Research output: Contribution to journalArticlepeer-review

604 Scopus citations


A number of issues concerning affine Lie algebras and string propagation on group manifolds are addressed. We show that a 1 + 1 dimensional quantum field theory which gives a realization of current algebra (for any non-abelian Lie group G) will always give rise to an "integrable" representation. It is known that string propagation on the group manifold can give rise to a realization of current algebra for any G and any k, but precisely which representations occur for given k has not been determined previously. We do this here by studying modular invariance and by making a semiclassical study for large k. These results permit a complete description of the operator product algebra. Some examples based on SO(3) and SU(3)/Z3 are worked out in detail.

Original languageEnglish (US)
Pages (from-to)493-549
Number of pages57
JournalNuclear Physics, Section B
Issue number3
StatePublished - Dec 15 1986

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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