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arXiv · 1502.04124

Bootstrapping the Three-Dimensional Supersymmetric Ising Model

Nikolay Bobev·Sheer El-Showk·Dalimil Mazac·Miguel F. Paulos
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Abstract

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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Nikolay Bobev, Sheer El-Showk, Dalimil Mazac, Miguel F. Paulos. 2015-02-13. Bootstrapping the Three-Dimensional Supersymmetric Ising Model. https://doi.org/10.1103/physrevlett.115.051601

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