Dr Andreas Braun andreas.braun@durham.ac.uk
Assistant Professor
On Mirror Maps for Manifolds of Exceptional Holonomy
Braun, Andreas P; Majumder, Suvajit; Otto, Alexander
Authors
Suvajit Majumder
Alexander Otto
Abstract
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.
Citation
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. https://doi.org/10.1007/jhep10%282019%29204
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 |
Electronic ISSN | 1029-8479 |
Publisher | Scuola Internazionale Superiore di Studi Avanzati (SISSA) |
Peer Reviewed | Peer Reviewed |
Volume | 2019 |
Issue | 10 |
Article Number | 204 |
DOI | https://doi.org/10.1007/jhep10%282019%29204 |
Public URL | https://durham-repository.worktribe.com/output/1287480 |
Related Public URLs | https://arxiv.org/abs/1905.01474 |
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Published Journal Article
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Publisher Licence URL
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Accepted Journal Article
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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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