A note on mirror symmetry for manifolds with spin(7) holonomy
Journal
Journal of Physics A: Mathematical and Theoretical
Journal Volume
43
Journal Issue
23
Date Issued
2010
Author(s)
Chuang, W.-Y.
Abstract
Starting from the superconformal algebras associated with $G_2$ manifolds, I extend the algebra to the manifolds with spin(7) holonomy. I show how the mirror symmetry in manifolds with spin(7) holonomy arises as the automorphism in the extended sperconformal algebra. The automorphism is realized as 14 kinds of T-dualities on the supersymmetric $T^4$ toroidal fibrations. One class of Joyce's orbifolds are pairwise identified under the symmetry.
Type
journal article