On geometric classification of 5d SCFTs
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SCOPUS
- Title
- On geometric classification of 5d SCFTs
- Authors
- Patrick Jefferson; Sheldon Katz; KIM, HEE CHEOL; Cumrun Vafa
- Date Issued
- 2018-04
- Publisher
- Springer Berlin Heidelberg
- Abstract
- We formulate geometric conditions necessary for engineering 5d superconformal field theories (SCFTs) via M-theory compactification on a local Calabi-Yau 3-fold. Extending the classification of the rank 1 cases, which are realized geometrically as shrinking del Pezzo surfaces embedded in a 3-fold, we propose an exhaustive classification of local 3-folds engineering rank 2 SCFTs in 5d. This systematic classification confirms that all rank 2 SCFTs predicted using gauge theoretic arguments can be realized as consistent theories, with the exception of one family which is shown to be non-perturbatively inconsistent and thereby ruled out by geometric considerations. We find that all rank 2 SCFTs descend from 6d (1,0) SCFTs compactified on a circle possibly twisted with an automorphism together with holonomies for global symmetries around the Kaluza-Klein circle. These results support our conjecture that every 5d SCFT can be obtained from the circle compactification of some parent 6d (1,0) SCFT.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/50100
- DOI
- 10.1007/JHEP04(2018)103
- ISSN
- 1029-8479
- Article Type
- Article
- Citation
- Journal of High Energy Physics, vol. 103, no. 4, 2018-04
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