Abstract
In this note we study four dimensional theories with N = 3 superconformal symmetry, that do not also have N = 4 supersymmetry. No examples of such theories are known, but their existence is also not ruled out. We analyze several properties that such theories must have. We show that their conformal anomalies obey a = c. Using the N = 3 superconformal algebra, we show that they do not have any exactly marginal deformations preserving N = 3 supersymmetry, or global symmetries (except for their R-symmetries). Finally, we analyze the possible dimensions of chiral operators labeling their moduli space.
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Aharony, O., Evtikhiev, M. On four dimensional N = 3 superconformal theories. J. High Energ. Phys. 2016, 40 (2016). https://doi.org/10.1007/JHEP04(2016)040
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DOI: https://doi.org/10.1007/JHEP04(2016)040