Exploring the minimal 4D \( \mathcal{N}=1 \) SCFT. (English) Zbl 1388.81691
Summary: 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 \(\mathrm{ U}(1)_R\) current multiplet and estimating the central charge and low-lying operator spectrum of this theory.
MSC:
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
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