Modular Constraints on Calabi-Yau Compactifications

Christoph A. Keller, Hirosi Ooguri

Research output: Contribution to journalArticle

20 Scopus citations


We derive global constraints on the non-BPS sector of supersymmetric 2d sigma-models whose target space is a Calabi-Yau manifold. When the total Hodge number of the Calabi-Yau threefold is sufficiently large, we show that there must be non-BPS primary states whose total conformal weights are less than 0.656. Moreover, the number of such primary states grows at least linearly in the total Hodge number. We discuss implications of these results for Calabi-Yau geometry.

Original languageEnglish (US)
Pages (from-to)107-127
Number of pages21
JournalCommunications in Mathematical Physics
Issue number1
Publication statusPublished - Nov 1 2013
Externally publishedYes


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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