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Bootstrapping 3D fermions
DOI:10.1007/JHEP03(2016)120.png)
Abstract
En 中文
We study the conformal bootstrap for a 4-point function of fermions 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 psi x psi OPE, and also on the central charge C (T) . We observe features in our bounds that coincide with scaling dimensions in the Gross-Neveu models at large N. We also speculate that other features could coincide with a fermionic CFT containing no relevant scalar operators.
Keywords:
Conformal and W Symmetry
Nonperturbative Effects
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