Bootstrapping the $\cN=1$ SCFT in three dimensions

Abstract

We suggest a way to implement conformal bootstrap program for the case of the $\mathcal{N}=1$ SCFT in three dimensions using the previous analysis of the Ising model in \cite{CB}. We find approximate values for the conformal dimensions of several operators and the central charge $C_T$, the coefficient in the two-point function of the stress-tensor. Bootstrapping this particular (minimal) SCFT is of special interest as it was suggested in \cite{CM} that it may realize supersymmetry in 2+1 dimensions in experiment. The values are in a good agreement with the previous estimate in \cite{CM}.

6 pages

References in corpus (2)

• Bootstrapping the O(N) Vector Models
• Bounds on 4D Conformal and Superconformal Field Theories

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