Vanishing short multiplets in rank one 4d/5d SCFTs
Abstract We study the short multiplet spectrum in 4d N $$ \mathcal{N} $$ = 2 superconformal theories of low rank using the full superconformal indices and the selection rules from the superconformal representation theory. We find a universal expression for the leading terms for the superconformal in...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-03-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP03(2023)211 |
| _version_ | 1797795912362229760 |
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| author | Jaewon Song |
| author_facet | Jaewon Song |
| author_sort | Jaewon Song |
| collection | DOAJ |
| description | Abstract We study the short multiplet spectrum in 4d N $$ \mathcal{N} $$ = 2 superconformal theories of low rank using the full superconformal indices and the selection rules from the superconformal representation theory. We find a universal expression for the leading terms for the superconformal index of rank one H 0 , H 1 , H 2 , D 4 , E 6 , E 7 theories. From this result, we argue that certain short multiplets appear in the operator product expansions involving stress-tensor, conserved current, and Coulomb branch operator vanish. We also apply the same procedure to 5d superconformal theories and find that E 1 theory has vanishing short multiplets analogous to that of the H 1 theory. |
| first_indexed | 2024-03-13T03:25:11Z |
| format | Article |
| id | doaj.art-64b6873f9b414199bb1730c997f466ce |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-13T03:25:11Z |
| publishDate | 2023-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-64b6873f9b414199bb1730c997f466ce2023-06-25T11:06:19ZengSpringerOpenJournal of High Energy Physics1029-84792023-03-012023312110.1007/JHEP03(2023)211Vanishing short multiplets in rank one 4d/5d SCFTsJaewon Song0Department of Physics, Korea Advanced Institute of Science and TechnologyAbstract We study the short multiplet spectrum in 4d N $$ \mathcal{N} $$ = 2 superconformal theories of low rank using the full superconformal indices and the selection rules from the superconformal representation theory. We find a universal expression for the leading terms for the superconformal index of rank one H 0 , H 1 , H 2 , D 4 , E 6 , E 7 theories. From this result, we argue that certain short multiplets appear in the operator product expansions involving stress-tensor, conserved current, and Coulomb branch operator vanish. We also apply the same procedure to 5d superconformal theories and find that E 1 theory has vanishing short multiplets analogous to that of the H 1 theory.https://doi.org/10.1007/JHEP03(2023)211Extended SupersymmetryField Theories in Higher DimensionsScale and Conformal Symmetries |
| spellingShingle | Jaewon Song Vanishing short multiplets in rank one 4d/5d SCFTs Journal of High Energy Physics Extended Supersymmetry Field Theories in Higher Dimensions Scale and Conformal Symmetries |
| title | Vanishing short multiplets in rank one 4d/5d SCFTs |
| title_full | Vanishing short multiplets in rank one 4d/5d SCFTs |
| title_fullStr | Vanishing short multiplets in rank one 4d/5d SCFTs |
| title_full_unstemmed | Vanishing short multiplets in rank one 4d/5d SCFTs |
| title_short | Vanishing short multiplets in rank one 4d/5d SCFTs |
| title_sort | vanishing short multiplets in rank one 4d 5d scfts |
| topic | Extended Supersymmetry Field Theories in Higher Dimensions Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP03(2023)211 |
| work_keys_str_mv | AT jaewonsong vanishingshortmultipletsinrankone4d5dscfts |