Geometric structures on G2 and Spin(7)-manifolds

Jae Hyouk Lee, Naichung Conan Leung

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

This article studies the geometry of moduli spaces of G2-manifolds, associative cycles, coassociative cycles and deformed Donaldson-Thomas bundles. We introduce natural symmetric cubic tensors and differential forms on these moduli spaces. They correspond to Yukawa couplings and correlation functions in M-theory. We expect that the Yukawa coupling characterizes (co-)associative fibrations on these manifolds. We discuss the Fourier transformation along such fibrations and the analog of the Strominger-Yau-Zaslow mirror conjecture for G2-manifolds. We also discuss similar structures and transformations for Spin(7)-manifolds.

Original languageEnglish
Pages (from-to)1-31
Number of pages31
JournalAdvances in Theoretical and Mathematical Physics
Volume13
Issue number1
DOIs
StatePublished - 2009

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