Bootstrapping chiral CFTs at genus two

Christoph A. Keller, Grégoire Mathys, Ida G. Zadeh

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


Genus two partition functions of 2d chiral conformal field theories are given by Siegel modular forms. We compute their conformal blocks and use them to perform the conformal bootstrap. The advantage of this approach is that it imposes crossing symmetry of an infinite family of four point functions and also modular invariance at the same time. Since for a fixed central charge the ring of Siegel modular forms is finite dimensional, we can perform this analytically. In this way we derive bounds on three point functions and on the spectrum of such theories.

Original languageEnglish (US)
Pages (from-to)1447-1487
Number of pages41
JournalAdvances in Theoretical and Mathematical Physics
Issue number6
StatePublished - 2018

ASJC Scopus subject areas

  • General Mathematics
  • General Physics and Astronomy


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