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

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abstract

We suggest a way to implement conformal bootstrap program for the case of the ${\cal N}=1$ 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}.

fields

hep-th 1

years

2026 1

verdicts

UNVERDICTED 1

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  • Boundary criticality in the Gross-Neveu-Yukawa model at higher orders hep-th · 2026-06-05 · unverdicted · none · ref 14 · internal anchor

    Higher-order large-N and epsilon-expansion calculations of boundary free energies, fermion dimensions, and central charge in the Gross-Neveu-Yukawa universality class, with consistency checks between methods.