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

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arxiv hep-th/0406151 v1 pith:TFK472H6 submitted 2004-06-17 hep-th

Wu-yen Chuang This is my paper · ORCID
classification hep-th
keywords manifoldsholonomyspinsymmetryalgebraautomorphismmirroralgebras
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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.

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  1. $\mathcal{SW}$-algebras and strings with torsion

    hep-th 2024-12 conditional novelty 6.0 of 10

    For G2 and SU(3) string backgrounds with NS flux, the scalar torsion class controls the first-order deformation of the worldsheet super W-algebra couplings away from special holonomy.

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