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Bootstrapping 3D fermions

Iliesiu, Luca·Kos, Filip·Poland, David·Pufu, Silviu S.·Simmons-Duffin, David·Yacoby, Ran
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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 C T . We observe features in our bounds that coincide with scaling dimensions in the GrossNeveu models at large N. Finally, we also speculate that other features could coincide with a fermionic CFT containing no relevant scalar operators.

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSconformal and W symmetrynonperturbative effects

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Iliesiu, Luca, Kos, Filip, Poland, David, Pufu, Silviu S., Simmons-Duffin, David, Yacoby, Ran. 2016-03-17. Bootstrapping 3D fermions. https://doi.org/10.1007/jhep03(2016)120

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