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2015

Exploring the Minimal 4D $\mathcal{N}=1$ SCFT

Poland, David, Stergiou, Andreas

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We study the conformal bootstrap constraints for 4D $\mathcal{N}=1$ superconformal field theories containing a chiral operator $\phi$ and the chiral ring relation $\phi^2=0$.

Hints for a minimal interacting SCFT in this class have appeared in previous numerical bootstrap studies.
We perform a detailed study of the properties of this conjectured theory, establishing that the corresponding solution to the bootstrap constraints contains a $\text{U}(1)_R$ current multiplet and estimating the central charge and low-lying operator spectrum of this theory.

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