Twisted circle compactifications of 6d SCFTs
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13130_2020_Article_14440.pdf
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Author(s)
Bhardwaj, Lakshya
Jefferson, Patrick
Kim, Hee-Cheol
Tarazi, Houri-Christina
Vafa, Cumrun
Date Issued
December 2020
Journal
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Citation
Bhardwaj, Lakshya et al. "Twisted circle compactifications of 6d SCFTs." Journal of High Energy Physics 2020, 12 (December 2020):151 © 2020 The Author(s)
Version
Final published version
Abstract
We study 6d superconformal field theories (SCFTs) compactified on a circle with arbitrary twists. The theories obtained after compactification, often referred to as 5d Kaluza-Klein (KK) theories, can be viewed as starting points for RG flows to 5d SCFTs. According to a conjecture, all 5d SCFTs can be obtained in this fashion. We compute the Coulomb branch prepotential for all 5d KK theories obtainable in this manner and associate to these theories a smooth local genus one fibered Calabi-Yau threefold in which is encoded information about all possible RG flows to 5d SCFTs. These Calabi-Yau threefolds provide hitherto unknown M-theory duals of F-theory configurations compactified on a circle with twists. For certain exceptional KK theories that do not admit a standard geometric description we propose an algebraic description that appears to retain the properties of the local Calabi-Yau threefolds necessary to determine RG flows to 5d SCFTs, along with other relevant physical data.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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DOI of Published Version
https://doi.org/10.1007/JHEP12(2020)151
