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On Mirror Maps for Manifolds of Exceptional Holonomy

Braun, Andreas P; Majumder, Suvajit; Otto, Alexander

On Mirror Maps for Manifolds of Exceptional Holonomy Thumbnail


Suvajit Majumder

Alexander Otto


We study mirror symmetry of type II strings on manifolds with the exceptional holonomy groups G2 and Spin(7). Our central result is a construction of mirrors of Spin(7) manifolds realized as generalized connected sums. In parallel to twisted connected sum G2 manifolds, mirrors of such Spin(7) manifolds can be found by applying mirror symmetry to the pair of non-compact manifolds they are glued from. To provide non-trivial checks for such geometric mirror constructions, we give a CFT analysis of mirror maps for Joyce orbifolds in several new instances for both the Spin(7) and the G2 case. For all of these models we find possible assignments of discrete torsion phases, work out the action of mirror symmetry, and confirm the consistency with the geometrical construction. A novel feature appearing in the examples we analyse is the possibility of frozen singularities.


Braun, A. P., Majumder, S., & Otto, A. (2019). On Mirror Maps for Manifolds of Exceptional Holonomy. Journal of High Energy Physics, 2019(10), Article 204.

Journal Article Type Article
Acceptance Date Oct 2, 2019
Online Publication Date Oct 21, 2019
Publication Date Oct 31, 2019
Deposit Date Oct 22, 2019
Publicly Available Date Oct 22, 2019
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2019
Issue 10
Article Number 204
Related Public URLs


Accepted Journal Article (510 Kb)

Copyright Statement
This article is distributed under the terms of the Creative Commons
Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in
any medium, provided the original author(s) and source are credited.

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