Bootstrapping 3D fermions with global symmetries

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

doi:10.1007/JHEP01(2018)036

Bootstrapping 3D fermions with global symmetries

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

Physics

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68 Scopus citations

Abstract

We study the conformal bootstrap for 4-point functions of fermions 〈ψ_iψ_jψ_kψ_ℓ〉 in parity-preserving 3d CFTs, where ψ_i transforms as a vector under an O(N) global symmetry. We compute bounds on scaling dimensions and central charges, finding features in our bounds that appear to coincide with the O(N) symmetric Gross-Neveu-Yukawa fixed points. Our computations are in perfect agreement with the 1/N expansion at large N and allow us to make nontrivial predictions at small N. For values of N for which the Gross-Neveu-Yukawa universality classes are relevant to condensed-matter systems, we compare our results to previous analytic and numerical results.

Original language	English (US)
Article number	36
Journal	Journal of High Energy Physics
Volume	2018
Issue number	1
DOIs	https://doi.org/10.1007/JHEP01(2018)036
State	Published - Jan 1 2018

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Keywords

1/N Expansion
Conformal Field Theory
Conformal and W Symmetry
Global Symmetries

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10.1007/JHEP01(2018)036

Cite this

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title = "Bootstrapping 3D fermions with global symmetries",

abstract = "We study the conformal bootstrap for 4-point functions of fermions 〈ψiψjψkψℓ〉 in parity-preserving 3d CFTs, where ψi transforms as a vector under an O(N) global symmetry. We compute bounds on scaling dimensions and central charges, finding features in our bounds that appear to coincide with the O(N) symmetric Gross-Neveu-Yukawa fixed points. Our computations are in perfect agreement with the 1/N expansion at large N and allow us to make nontrivial predictions at small N. For values of N for which the Gross-Neveu-Yukawa universality classes are relevant to condensed-matter systems, we compare our results to previous analytic and numerical results.",

keywords = "1/N Expansion, Conformal Field Theory, Conformal and W Symmetry, Global Symmetries",

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

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T1 - Bootstrapping 3D fermions with global symmetries

AU - Iliesiu, Luca

AU - Kos, Filip

AU - Poland, David

AU - Pufu, Silviu S.

AU - Simmons-Duffin, David

PY - 2018/1/1

Y1 - 2018/1/1

N2 - We study the conformal bootstrap for 4-point functions of fermions 〈ψiψjψkψℓ〉 in parity-preserving 3d CFTs, where ψi transforms as a vector under an O(N) global symmetry. We compute bounds on scaling dimensions and central charges, finding features in our bounds that appear to coincide with the O(N) symmetric Gross-Neveu-Yukawa fixed points. Our computations are in perfect agreement with the 1/N expansion at large N and allow us to make nontrivial predictions at small N. For values of N for which the Gross-Neveu-Yukawa universality classes are relevant to condensed-matter systems, we compare our results to previous analytic and numerical results.

AB - We study the conformal bootstrap for 4-point functions of fermions 〈ψiψjψkψℓ〉 in parity-preserving 3d CFTs, where ψi transforms as a vector under an O(N) global symmetry. We compute bounds on scaling dimensions and central charges, finding features in our bounds that appear to coincide with the O(N) symmetric Gross-Neveu-Yukawa fixed points. Our computations are in perfect agreement with the 1/N expansion at large N and allow us to make nontrivial predictions at small N. For values of N for which the Gross-Neveu-Yukawa universality classes are relevant to condensed-matter systems, we compare our results to previous analytic and numerical results.

KW - 1/N Expansion

KW - Conformal Field Theory

KW - Conformal and W Symmetry

KW - Global Symmetries

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JF - Journal of High Energy Physics

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Bootstrapping 3D fermions with global symmetries

Abstract

All Science Journal Classification (ASJC) codes

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