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 CT. 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.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Conformal and W Symmetry
- Nonperturbative Effects