Abstract
In this work we investigate 5-dimensional theories obtained from M-theory on genus one fibered threefolds which exhibit twisted algebras in their fibers. We provide a base-independent algebraic description of the threefolds and compute light 5D BPS states charged under finite sub-algebras of the twisted algebras. We further construct the Jacobian fibrations that are associated to 6-dimensional F-theory lifts, where the twisted algebra is absent. These 6/5-dimensional theories are compared via twisted circle reductions of F-theory to M-theory. In the 5-dimensional theories we discuss several geometric transitions that connect twisted with untwisted fibrations. We present detailed discussions of \( {\mathfrak{e}}_6^{(2)} \), \( {\mathfrak{so}}_8^{(3)} \) and \( {\mathfrak{su}}_3^{(2)} \) twisted fibers and provide several explicit example threefolds via toric constructions. Finally, limits are considered in which gravity is decoupled, including Little String Theories for which we match 2-group symmetries across twisted T-dual theories.
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Acknowledgments
We thank Markus Dierigl, Zhihao Duan, Jonathan Mboyo Esole, Antonella Grassi, David Morrison, Kimyeong Lee, Nikhil Raghuram, Xin Wang and in particular Thorsten Schimannek for illuminating discussions. Furthermore we thank Jie Gu, Ling Lin, Guglielmo Lockhart, Marcus Sperling and Michele Del Zotto for related discussions. L.A. and J.G. are supported by NSF grant PHY-2014086. P.O. has received funding from the NSF CAREER grant PHY-1848089 and startup funding from Northeastern University by Fabian Ruehle.
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Anderson, L.B., Gray, J. & Oehlmann, PK. Twisted Fibrations in M/F-theory. J. High Energ. Phys. 2024, 17 (2024). https://doi.org/10.1007/JHEP01(2024)017
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DOI: https://doi.org/10.1007/JHEP01(2024)017