Bootstrapping 3D fermions with global symmetries

A bstract We study the conformal bootstrap for 4-point functions of fermions 〈 ψ i ψ j ψ k ψ 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...

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Bibliographic Details
Published in:The journal of high energy physics 2018-01, Vol.2018 (1), p.1-27, Article 36
Main Authors: Iliesiu, Luca, Kos, Filip, Poland, David, Pufu, Silviu S., Simmons-Duffin, David
Format: Article
Language:English
Subjects:
1/N Expansion
Classical and Quantum Gravitation
Condensed matter physics
Conformal and W Symmetry
Conformal Field Theory
Critical phenomena
Elementary Particles
Fermions
Global Symmetries
High energy physics
Laboratories
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Symmetry
Theoretical physics
Transformations (mathematics)
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Summary:A bstract We study the conformal bootstrap for 4-point functions of fermions 〈 ψ i ψ j ψ k ψ 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2018)036