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arXiv · 1512.03524

On four dimensional N=3 superconformal theories

Ofer Aharony·Mikhail Evtikhiev
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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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Ofer Aharony, Mikhail Evtikhiev. 2015-12-26. On four dimensional N=3 superconformal theories. https://doi.org/10.1007/jhep04(2016)040

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