Bootstrapping Gross-Neveu Models

We study the conformal bootstrap for 4-point functions of fermions in parity-preserving 3D CFTs, where fermions transforms as a vector under an O(N) global symmetry. We compute bounds on scaling dimensions and central charges, finding features in our bounds that appear to coincide with the O(N) symmetric Gross-Neveu-Yukawa fixed points. Our computations are in perfect agreement with the 1/N expansion at large N and allow us to make nontrivial predictions at small N.
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Michigan Center for Theoretical Physics,
Mar 9, 2017, 11:16 AM