Supersymmetric cycles in exceptional holonomy manifolds and Calabi-Yau four-folds

Katrin Becker, Melanie Becker, David R. Morrison, Hirosi Ooguri, Yaron Oz, Zheng Yin

Research output: Contribution to journalArticlepeer-review

Abstract

We derive in the SCFT and low energy effective action frameworks the necessary and sufficient conditions for supersymmetric cycles in exceptional holonomy manifolds and Calabi-Yau four-folds. We show that the Cayley cycles in Spin(7) holonomy eight-manifolds and the associative and coassociative cycles in G2 holonomy seven-manifolds preserve half of the space-time supersymmetry. We find that while the holomorphic and special Lagrangian cycles in Calabi-Yau four-folds preserve half of the space-time supersymmetry, the Cayley submanifolds are novel as they preserve only one quarter of it. We present some simple examples. Finally, we discuss the implications of these supersymmetric cycles on mirror symmetry in higher dimensions.

Original languageEnglish
Pages (from-to)225-238
Number of pages14
JournalNuclear Physics B
Volume480
Issue number1-2
DOIs
StatePublished - 25 Nov 1996
Externally publishedYes

Keywords

  • 3-brane
  • Calabi-Yau four-folds
  • Cayley cycles
  • Exceptional holonomy manifolds
  • Mirror symmetry
  • Special Lagrangian submanifolds
  • Supersymmetric cycles

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