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

Bootstrapping the $\cN=1$ SCFT in three dimensions
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在三个维度上引导 $cN=1$ SCFT

DOI:
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发表时间:
2013
期刊:
arXiv: High Energy Physics - Theory
影响因子:
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通讯作者:
D. Bashkirov
D. Bashkirov
中科院分区:
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文献类型:
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作者:
D. Bashkirov

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我们提出了一种方法来实现共形引导程序的情况下,${\cal N}=1$ SCFT在三维使用以前的分析的伊辛模型在\cite{CB}。我们找到几个运营商和中心电荷$C_T$,在两点函数的应力张量的系数的共形尺寸的近似值。自举这个特殊的(最小)SCFT是特别感兴趣的,因为它是建议在\cite{CM},它可以实现在实验中的2+1维的超对称。这些值与\cite{CM}中的先前估计值非常一致。
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}.