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Bootstrapping the Three-Dimensional Supersymmetric Ising Model · Around

2015

Bootstrapping the Three-Dimensional Supersymmetric Ising Model

Bobev, Nikolay, El-Showk, Sheer, Mazac, Dalimil et al.

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We implement the conformal bootstrap program for three-dimensional CFTs with $\mathcal{N}=2$ supersymmetry and find universal constraints on the spectrum of operator dimensions in these theories.

By studying the bounds on the dimension of the first scalar appearing in the OPE of a chiral and an anti-chiral primary, we find a kink at the expected location of the critical three-dimensional $\mathcal{N}=2$ Wess-Zumino model, which can be thought of as a supersymmetric analog of the critical Ising model.
Focusing on this kink, we determine, to high accuracy, the low-lying spectrum of operator dimensions of the theory.

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