TY - JOUR
T1 - Geometric structures on G2 and Spin(7)-manifolds
AU - Lee, Jae Hyouk
AU - Leung, Naichung Conan
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=64549117818&partnerID=8YFLogxK
U2 - 10.4310/ATMP.2009.v13.n1.a1
DO - 10.4310/ATMP.2009.v13.n1.a1
M3 - Article
AN - SCOPUS:64549117818
SN - 1095-0761
VL - 13
SP - 1
EP - 31
JO - Advances in Theoretical and Mathematical Physics
JF - Advances in Theoretical and Mathematical Physics
IS - 1
ER -