The operator algebra of orbifold models

Robbert Dijkgraaf, Cumrun Vafa, Erik Verlinde, Herman Verlinde

Research output: Contribution to journalArticlepeer-review

351 Scopus citations


We analyze the chiral properties of (orbifold) conformal field theories which are obtained from a given conformal field theory by modding out by a finite symmetry group. For a class of orbifolds, we derive the fusion rules by studying the modular transformation properties of the one-loop characters. The results are illustrated with explicit calculations of toroidal and c=1 models.

Original languageEnglish (US)
Pages (from-to)485-526
Number of pages42
JournalCommunications In Mathematical Physics
Issue number3
StatePublished - Sep 1989

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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