Extremal N = (2, 2) 2D conformal field theories and constraints of modularity

Matthias R. Gaberdiel, Sergei Gukov, Christoph A. Keller, Gregory W. Moore, Hirosi Ooguri

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


We explore the constraints on the spectrum of primary fields implied by modularity of the elliptic genus of N = (2, 2) 2D CFTs. We show that such constraints have nontrivial implications for the existence of "extremal" N = (2, 2) conformal field theories. Applications to AdS3 supergravity and flux compactifications are addressed.

Original languageEnglish (US)
Pages (from-to)743-801
Number of pages59
JournalCommunications in Number Theory and Physics
Issue number4
StatePublished - Dec 2008

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Mathematical Physics
  • Physics and Astronomy(all)


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