Generic matter representations in 6D supergravity theories
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13130_2019_Article_10542.pdf
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2.73 MB
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Author(s)
Taylor IV, Washington
Turner, Andrew Patrick
Date Issued
May 2019
Journal
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Citation
Taylor, Washington and Andrew P. Turner. "Generic matter representations in 6D supergravity theories." Journal of High Energy Physics 2019, 5 (May 2019): 81.
Version
Final published version
Abstract
In six-dimensional supergravity, there is a natural sense in which matter lying in certain representations of the gauge group is “generic,” in that other “exotic” matter representations require more fine tuning. From considerations of the dimensionality of the moduli space and anomaly cancellation conditions, we find that the generic sets of matter representations are well-defined for 6D supergravity theories with gauge groups containing arbitrary numbers of nonabelian factors and U(1) factors. These generic matter representations also match with those that arise in the most generic F-theory constructions, both in 6D and in 4D, with non-generic matter representations requiring more exotic singularity types. The analysis of generic versus exotic matter illuminates long-standing puzzles regarding F-theory models with multiple U(1) factors and provides a useful framework for analyzing the 6D “swampland” of apparently consistent low-energy theories that cannot be realized through known string constructions. We note also that the matter content of the standard model is generic by the criteria used here only if the global structure is SU(3)c × SU(2)L × U(1)Y/ℤ6.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP05(2019)081
