G₂ mirrors from Calabi-Yau mirrors

We study the worldsheet CFTs of type II strings on compact G2 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 G2 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 G2 manifolds.

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Publication Details

Journal
Durham Research Online (Durham University)
Published
2024-10-09
DOI
https://doi.org/10.1007/jhep10%282024%29081
Primary Topic
Geometry and complex manifolds
Type
article
Field-Weighted Citation Impact
0.00

Funders

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article

G₂ mirrors from Calabi-Yau mirrors

Durham Research Online (Durham University)
Geometry and complex manifolds
article

G₂ mirrors from Calabi-Yau mirrors

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Abstract

We study the worldsheet CFTs of type II strings on compact G2 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 G2 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 G2 manifolds.

Durham Research Online (Durham University)
Durham University (GB)
Science and Technology Facilities Council
Reduced inequalities
Openalex Percentile: Top 53%
Geometry and complex manifolds
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G₂ mirrors from Calabi-Yau mirrors · Durham Research Online (Durham University) (2024) | TGRS Research Map | TGRS