TL;DR
This paper constructs M-Theory lifts of specific type IIA orientifolds on K3-fibred Calabi-Yau threefolds, revealing their structure as twisted connected sum G2 manifolds and enabling explicit study of open string moduli.
Contribution
It provides a novel method to lift type IIA orientifolds to M-Theory on G2 manifolds using twisted connected sum constructions, linking open and closed string sectors.
Findings
M-Theory lifts of certain orientifolds are G2 manifolds with TCS structure.
Open string moduli can be explicitly studied using these lifts.
Examples of G2 manifolds with different TCS realizations are constructed.
Abstract
We construct the M-Theory lifts of type IIA orientifolds based on K3-fibred Calabi-Yau threefolds with compatible involutions. Such orientifolds are shown to lift to M-Theory on twisted connected sum manifolds. Beautifully, the two building blocks forming the manifold correspond to the open and closed string sectors. As an application, we show how to use such lifts to explicitly study open string moduli. Finally, we use our analysis to construct examples of manifolds with different inequivalent TCS realizations.
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