期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 3, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP03(2019)163
关键词
Conformal and W Symmetry; Conformal Field Theory; Global Symmetries; Space-Time Symmetries
资金
- Martin and Helen Chooljian membership at the Institute for Advanced Study
- DOE [DE-SC0009988, DE-SC0007870, DE-SC0009919]
- Fundamental Laws Initiative at Harvard University
- NSF [PHY-1067976]
- Dan Broida Chair
We systematically analyze the operator content of unitary superconformal multiplets in d 3 spacetime dimensions. We present a simple, general, and efficient algorithm that generates all of these multiplets by correctly eliminating possible null states. The algorithm is conjectural, but passes a vast web of consistency checks. We apply it to tabulate a large variety of superconformal multiplets. In particular, we classify and construct all multiplets that contain conserved currents or free fields, which play an important role in superconformal field theories (SCFTs). Some currents that are allowed in conformal field theories cannot be embedded in superconformal multiplets, and hence they are absent in SCFTs. We use the structure of superconformal stress tensor multiplets to show that SCFTs with more than 16 Poincare supercharges cannot arise in d 4, even when the corresponding superconformal algebras exist. We also show that such theories do arise in d = 3, but are necessarily free.
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