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.
| Original language | English |
|---|---|
| Article number | 122 |
| Journal | SciPost Physics |
| Volume | 14 |
| Issue number | 5 |
| DOIs | |
| State | Published - May 2023 |
| Externally published | Yes |
Bibliographical note
Funding Information:We would like to thank Thomas T. Dumitrescu, Hirotaka Hayashi, Sheldon Katz, Seok Kim, Sung-Soo Kim, Kimyeong Lee, Kantaro Ohmori, Yuji Tachikawa, Masato Taki, Itamar Yaakov, Futoshi Yagi and Dan Xie for useful comments and discussions. The research of P.J. and H.K. and C.V. is supported in part by NSF grant PHY-1067976. H.K. would like to thank the Aspen Center for Physics Winter Conference on Superconformal Field Theories in d ≥ 4, which is supported by NSF grant PHY-1066293, and also the Erwin Schrödinger Institute for its workshop on Elliptic hypergeometric functions in Combinatorics, Integrable systems and Physics for hospitality during the final stages of this work. G.Z. is supported by World Premier International Research Center Initiative (WPI), MEXT, Japan.
Funding Information:
We would like to thank Thomas T. Dumitrescu, Hirotaka Hayashi, Sheldon Katz, Seok Kim, Sung-Soo Kim, Kimyeong Lee, Kantaro Ohmori, Yuji Tachikawa, Masato Taki, Itamar Yaakov, Futoshi Yagi and Dan Xie for useful comments and discussions. The research of P.J. and H.K. and C.V. is supported in part by NSF grant PHY-1067976. H.K. would like to thank the Aspen Center for Physics Winter Conference on Superconformal Field Theories in d ≥ 4, which is sup- ported by NSF grant PHY-1066293, and also the Erwin Schrödinger Institute for its workshop on Elliptic hypergeometric functions in Combinatorics, Integrable systems and Physics for hospitality during the final stages of this work. G.Z. is supported by World Premier International Research Center Initiative (WPI), MEXT, Japan.
Publisher Copyright:
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ASJC Scopus subject areas
- Physics and Astronomy (all)