期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 3, 页码 1-42出版社
SPRINGER
DOI: 10.1007/JHEP03(2016)120
关键词
Conformal and W Symmetry; Nonperturbative Effects
资金
- US NSF [PHY-1418069]
- DOE [DE-SC0009988]
- NSF [PHY-1350180, PHY-1066293]
- William D. Loughlin Membership at the Institute for Advanced Study
- Direct For Mathematical & Physical Scien
- Division Of Physics [1350180] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien
- Division Of Physics [1418069] Funding Source: National Science Foundation
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.
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