Pfaffian Calabi-Yau threefolds and mirror symmetry

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17 Citations (Scopus)

Abstract

The aim of this paper is to report on recent progress in understanding mirror symmetry for some non-complete intersection Calabi- Yau threefolds. We first construct four new smooth non-complete intersection Calabi-Yau threefolds with h1,1 = 1, whose existence was previously conjectured by C. van Enckevort and D. van Straten in [19]. We then compute the period integrals of candidate mirror families of F. Tonoli's degree 13 Calabi-Yau threefold and three of the new Calabi-Yau threefolds. The Picard-Fuchs equations coincide with the expected Calabi-Yau equations listed in [18,19]. Some of the mirror families turn out to have two maximally unipotent monodromy points.

Original languageEnglish
Pages (from-to)661-696
Number of pages36
JournalCommunications in Number Theory and Physics
Volume6
Issue number3
DOIs
Publication statusPublished - 2012
Externally publishedYes

ASJC Scopus subject areas

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

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