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arXiv · 1508.00012

Bootstrapping 3D Fermions

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

We study the conformal bootstrap for a 4-point function of fermions $\langle\psi\psi\psi\psi\rangle$ 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 $\psi \times \psi$ 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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Luca Iliesiu, Filip Kos, David Poland, Silviu S. Pufu, David Simmons-Duffin, Ran Yacoby. 2015-07-31. Bootstrapping 3D Fermions. https://doi.org/10.1007/jhep03(2016)120

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