Wess-Zumino-Witten model based on a nonsemisimple group

Chiara R. Nappi, Edward Witten

Research output: Contribution to journalArticlepeer-review

265 Scopus citations


We present a conformal field theory which describes a homogeneous four dimensional Lorentz-signature space-time. The model is an ungauged Wess-Zumino-Witten model based on a central extension of the Poincaré algebra. The central charge of this theory is exactly four, just like four dimensional Minkowski space. The model can be interpreted as a four dimensional monochromatic plane wave. As there are three commuting isometries, other interesting geometries are expected to emerge via O(3,3) duality.

Original languageEnglish (US)
Pages (from-to)3751-3753
Number of pages3
JournalPhysical review letters
Issue number23
StatePublished - 1993
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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