$G_2$ Mirrors from Calabi-Yau Mirrors

Andreas P. Braun; Richie Dadhley

$G_2$ Mirrors from Calabi-Yau Mirrors

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arxiv 2312.12104 v2 pith:CPWXVR2N submitted 2023-12-19 hep-th

Andreas P. Braun , Richie Dadhley This is my paper · ORCID

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keywords calabi-yaumirrormirrorsworldsheetanti-holomorphicargueassociatedbehave

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abstract

We study the worldsheet CFTs of type II strings on compact $G_2$ orbifolds obtained as quotients of a product of a Calabi-Yau threefold and a circle. For such models, we argue that the Calabi-Yau mirror map implies a mirror map for the associated $G_2$ varieties by examining how anti-holomorphic involutions behave under Calabi-Yau mirror symmetry. The mirror geometries identified by the worldsheet CFT are consistent with earlier proposals for twisted connected sum $G_2$ manifolds.

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$\mathcal{SW}$-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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