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arXiv · 2312.12104

$G_2$ Mirrors from Calabi-Yau Mirrors

Andreas P. Braun·Richie Dadhley
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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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Andreas P. Braun, Richie Dadhley. 2023-12-19. $G_2$ Mirrors from Calabi-Yau Mirrors. https://arxiv.org/abs/2312.12104

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