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Superconformal algebras for the Schoen Calabi-Yau manifold

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arxiv 2306.14798 v1 pith:NYZGN744 submitted 2023-06-26 hep-th

classification hep-th
keywords algebrascalabi-yaucompactificationsmanifoldproposalschoenworldsheetarxiv
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We revisit the proposal of arXiv:2104.05716 for the worldsheet description of string theory compactifications on special holonomy manifolds obtained via connected sums: the geometric construction corresponds to a diamond of inclusions of worldsheet algebras. We present new evidence for the proposal by considering compactifications on the Schoen Calabi-Yau manifold.

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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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