Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 11, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP11(2016)135
Keywords
Conformal Field Theory; Extended Supersymmetry; Field Theories in Higher Dimensions; Field Theories in Lower Dimensions
Categories
Funding
- Harvard Society of Fellows
- Institute for Advanced Study
- DOE [DE-SC0009988, DE-SC0007870, DE-SC0009919]
- Fundamental Laws Initiative at Harvard University
- NSF [PHY-1067976]
- Dan Broida Chair
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We classify possible supersymmetry-preserving relevant, marginal, and irrelevant deformations of unitary superconformal theories in d >= 3 dimensions. Our method only relies on symmetries and unitarity. Hence, the results are model independent and do not require a Lagrangian description. Two unifying themes emerge: first, many theories admit deformations that reside in multiplets together with conserved currents. Such deformations can lead to modifications of the supersymmetry algebra by central and non-central charges. Second, many theories with a sufficient amount of supersymmetry do not admit relevant or marginal deformations, and some admit neither. The classification is complicated by the fact that short superconformal multiplets display a rich variety of sporadic phenomena, including supersymmetric deformations that reside in the middle of a multiplet. We illustrate our results with examples in diverse dimensions. In particular, we explain how the classification of irrelevant supersymmetric deformations can be used to derive known and new constraints on moduli-space effective actions.
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