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

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

2004-06-17

arxiv.org/abs/hep-th/0406151v1

J.Phys.A43:235403,2010

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, harvmac big

Scientific paper

10.1088/1751-8113/43/23/235403

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.

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