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

Denis Bashkirov

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

High Energy Physics - Theory 2013-10-31 v1 Strongly Correlated Electrons

Authors: Denis Bashkirov

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}.

Keywords

conformal field theory superconformal field theories

Cite

@article{arxiv.1310.8255,
  title  = {Bootstrapping the $\cN=1$ SCFT in three dimensions},
  author = {Denis Bashkirov},
  journal= {arXiv preprint arXiv:1310.8255},
  year   = {2013}
}

Comments

6 pages

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