Fibre-base duality of 5d KK theories

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

Abstract

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.

Citation

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. https://doi.org/10.1007/jhep05%282021%29200

• 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
• DOI: https://doi.org/10.1007/jhep05%282021%29200
• Keywords: Nuclear and High Energy Physics
• Public URL: https://durham-repository.worktribe.com/output/1730355