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Superconformal algebras for generalized Spin(7) and G$_2$ connected sums

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arxiv 2104.05716 v2 pith:LLNSWX5K submitted 2021-04-12 hep-th

classification hep-th
keywords connectedmanifoldsdimensionalgeneralizedspintwistedalgebrasarxiv
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abstract

Worldsheet string theory compactified on exceptional holomony manifolds is revisited following arXiv:1809.06376, where aspects of the chiral symmetry were described for the case where the compact space is a 7-dimensional G$_2$-holonomy manifold constructed as a Twisted Connected Sum. We reinterpret this result and extend it to Extra Twisted Connected Sum G$_2$-manifolds, and to 8-dimensional Generalized Connected Sum Spin(7)-manifolds. Automorphisms of the latter construction lead us to conjecture new mirror maps.

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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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