A Note on Mirror Symmetry for Manifolds with Spin(7) Holonomy
- SLAC
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.
- Research Organization:
- Stanford Linear Accelerator Center, Menlo Park, CA (US)
- Sponsoring Organization:
- USDOE Office of Science (US)
- DOE Contract Number:
- AC03-76SF00515
- OSTI ID:
- 827006
- Report Number(s):
- SLAC-PUB-10504
- Country of Publication:
- United States
- Language:
- English
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