Bootstrapping 3D fermions

Luca Iliesiu, Filip Kos, David Poland, Silviu S. Pufu, David Simmons-Duffin, Ran Yacoby

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Abstract

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.

Original languageEnglish (US)
Article number120
JournalJournal of High Energy Physics
Volume2016
Issue number3
DOIs
StatePublished - Mar 1 2016

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Keywords

  • Conformal and W Symmetry
  • Nonperturbative Effects

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    Iliesiu, L., Kos, F., Poland, D., Pufu, S. S., Simmons-Duffin, D., & Yacoby, R. (2016). Bootstrapping 3D fermions. Journal of High Energy Physics, 2016(3), [120]. https://doi.org/10.1007/JHEP03(2016)120