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Bootstrapping 3D fermions

Author(s): Iliesiu, Luca; Kos, Filip; Poland, David; Pufu, Silviu S; Simmons-Duffin, David; et al

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Abstract: We study the conformal bootstrap for a 4-point function of fermions <psi psi psi psi > 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.
Publication Date: Mar-2016
Electronic Publication Date: 17-Mar-2016
Citation: Iliesiu, Luca, Kos, Filip, Poland, David, Pufu, Silviu S, Simmons-Duffin, David, Yacoby, Ran. (2016). Bootstrapping 3D fermions. JOURNAL OF HIGH ENERGY PHYSICS, 1 - 42. doi:10.1007/JHEP03(2016)120
DOI: doi:10.1007/JHEP03(2016)120
ISSN: 1029-8479
Type of Material: Journal Article
Version: Final published version. This is an open access article.

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