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

Abstract

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

9 pages, 11 figures

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• Weight Shifting Operators and Conformal Blocks
• Bootstrapping $\mathcal{N}=2$ chiral correlators
• The 3d Stress-Tensor Bootstrap
• Conformal Collider Physics from the Lightcone Bootstrap
• Bootstrapping Mixed Correlators in the Five Dimensional Critical O(N) Models
• Casimir recursion relations for general conformal blocks
• Non-Abelian Binding Energies from the Lightcone Bootstrap
• Long Multiplet Bootstrap
• Bootstrap experiments on higher dimensional CFTs
• Landscape of Simple Superconformal Field Theories in 4d
• A search for minimal 4d N=1 SCFT
• Charting the space of 3D CFTs with a continuous global symmetry
• A Small Deformation of a Simple Theory
• Differential operators for superconformal correlation functions
• Critical Wess-Zumino models with four supercharges from the functional renormalization group