Note on Mirror Symmetry for Manifolds with Spin(7) Holonomy.

Cheng, W.

Technical Information Center Oak Ridge Tennessee

关键词: Mirror symmetry;    Mathematical manifolds;    Spin;    Duality;    Algebra;   

RP-ID  :  DE2004827006

学科分类：工程和技术（综合）

美国|英语

来源: National Technical Reports Library

【 摘 要 】

Starting from the superconformal algebras associated with G(sub 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 superconformal algebra. The automorphism is realized as 14 kinds of T-dualities on the supersymmetric T(sup 4) toroidal fibrations. One class of Joyce's orbifolds are pairwise identified under the symmetry.