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Fibre-base duality of 5d KK theories

Braun, Andreas P.; Chen, Jin; Haghighat, Babak; Sperling, Marcus; Yang, Shuhang

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Jin Chen

Babak Haghighat

Marcus Sperling

Shuhang Yang


We study circle compactifications of 6d superconformal field theories giving rise to 5d rank 1 and rank 2 Kaluza-Klein theories. We realise the resulting theories as M-theory compactifications on local Calabi-Yau 3-folds and match the prepotentials from geometry and field theory. One novelty in our approach is that we include explicit dependence on bare gauge couplings and mass parameters in the description which in turn leads to an accurate parametrisation of the prepotential including all parameters of the field theory. We find that the resulting geometries admit “fibre-base” duality which relates their six-dimensional origin with the purely five-dimensional quantum field theory interpretation. The fibre-base duality is realised simply by swapping base and fibre curves of compact surfaces in the local Calabi-Yau which can be viewed as the total space of the anti-canonical bundle over such surfaces. Our results show that such swappings precisely occur for surfaces with a zero self-intersection of the base curve and result in an exchange of the 6d and 5d pictures.


Braun, A. P., Chen, J., Haghighat, B., Sperling, M., & Yang, S. (2021). Fibre-base duality of 5d KK theories. Journal of High Energy Physics, 2021(5), Article 200.

Journal Article Type Article
Acceptance Date Apr 23, 2021
Online Publication Date May 21, 2021
Publication Date 2021-05
Deposit Date Sep 5, 2023
Publicly Available Date Sep 5, 2023
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2021
Issue 5
Article Number 200
Keywords Nuclear and High Energy Physics
Public URL


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