Abstract
We study the conformal bootstrap for a 4-point function of fermions 〈ψψψψ〉 in 3D. We first introduce an embedding formalism for 3D spinors and compute the conformal blocks appearing in fermion 4-point functions. Using these results, we find general bounds on the dimensions of operators appearing in the ψ × ψ OPE, and also on the central charge C T . We observe features in our bounds that coincide with scaling dimensions in the GrossNeveu models at large N . We also speculate that other features could coincide with a fermionic CFT containing no relevant scalar operators.
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Iliesiu, L., Kos, F., Poland, D. et al. Bootstrapping 3D fermions. J. High Energ. Phys. 2016, 120 (2016). https://doi.org/10.1007/JHEP03(2016)120
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DOI: https://doi.org/10.1007/JHEP03(2016)120