Bootstrapping 3D fermions

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

doi:10.1007/JHEP03(2016)120

Bootstrapping 3D fermions

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

Physics

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132 Scopus citations

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 C_T. 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 language	English (US)
Article number	120
Journal	Journal of High Energy Physics
Volume	2016
Issue number	3
DOIs	https://doi.org/10.1007/JHEP03(2016)120
State	Published - 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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10.1007/JHEP03(2016)120

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title = "Bootstrapping 3D fermions",

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.",

keywords = "Conformal and W Symmetry, Nonperturbative Effects",

author = "Luca Iliesiu and Filip Kos and David Poland and Pufu, {Silviu S.} and David Simmons-Duffin and Ran Yacoby",

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doi = "10.1007/JHEP03(2016)120",

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T1 - Bootstrapping 3D fermions

AU - Iliesiu, Luca

AU - Kos, Filip

AU - Poland, David

AU - Pufu, Silviu S.

AU - Simmons-Duffin, David

AU - Yacoby, Ran

PY - 2016/3/1

Y1 - 2016/3/1

N2 - 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.

AB - 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.

KW - Conformal and W Symmetry

KW - Nonperturbative Effects

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DO - 10.1007/JHEP03(2016)120

M3 - Article

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SN - 1126-6708

VL - 2016

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 3

M1 - 120

ER -

Bootstrapping 3D fermions

Abstract

All Science Journal Classification (ASJC) codes

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