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Title: A Note on Mirror Symmetry for Manifolds with Spin(7) Holonomy

Technical Report ·
DOI:https://doi.org/10.2172/827006· OSTI ID:827006

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:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Organization:
USDOE Office of Science (US)
DOE Contract Number:
AC03-76SF00515
OSTI ID:
827006
Report Number(s):
SLAC-PUB-10504; TRN: US0404739
Resource Relation:
Other Information: PBD: 17 Jun 2004
Country of Publication:
United States
Language:
English

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