Towards classification of 5d SCFTs: Single gauge node
Patrick Jefferson, Hee-Cheol Kim, Cumrun Vafa, Gabi Zafrir
SciPost Phys. 14, 122 (2023) · published 22 May 2023
- doi: 10.21468/SciPostPhys.14.5.122
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Abstract
We propose a number of apparently equivalent criteria necessary for the consistency of a 5d SCFT in its Coulomb phase and use these criteria to classify 5d SCFTs arising from a gauge theory with simple gauge group. These criteria include the convergence of the 5-sphere partition function; the positivity of particle masses and monopole string tensions; and the positive definiteness of the metric in some region in the Coulomb branch. We find that for large rank classical groups simple classes of SCFTs emerge where the bounds on the matter content and the Chern-Simons level grow linearly with rank. For classical groups of rank less than or equal to 8, our classification leads to additional cases which do not fit in the large rank analysis. We also classify the allowed matter content for all exceptional groups.
Cited by 14
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Patrick Jefferson,
- 1 3 Hee-Cheol Kim,
- 1 Cumrun Vafa,
- 4 Gabi Zafrir
- 1 Harvard University
- 2 Massachusetts Institute of Technology [MIT]
- 3 포항공과대학교 / Pohang University of Science and Technology [POSTECH]
- 4 Kavli Institute for the Physics and Mathematics of the Universe [IPMU]