Operator Product Expansions and Consistency Relations in a O(N) Invariant Fermionic CFT for 2<d<4

Abstract

A conformally invariant theory of Majorana fermions in 2<d<4 with O(N) symmetry is studied using Operator Product Expansions and consistency relations based on the cancellation of shadow singularities. The critical coupling G_{*} of the theory is calculated to leading order in 1/N. This value is then used to reproduce the O(1/N) correction for the anomalous dimension of the fermion field as evidence for the validity of our approach to conformal field theory in d>2.

13 pages, Latex

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• C_{T} and C_{J} up to next-to-leading order in 1/N in the Conformally Invariant O(N) Vector Model for 2<d<4
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Cited by in corpus (20)

• Bootstrapping 3D Fermions
• The Operator Product Expansion of N=4 SYM and the 4-point Functions of Supergravity
• Scattering in Anti-de Sitter Space and Operator Product Expansion
• Bootstrapping 3D Fermions with Global Symmetries
• Mellin space bootstrap for global symmetry
• The Gross-Neveu-Yukawa Archipelago
• Shadows, currents and AdS fields
• Gauge invariant two-point vertices of shadow fields, AdS/CFT, and conformal fields
• Ordinary-derivative formulation of conformal totally symmetric arbitrary spin bosonic fields
• $\epsilon$-Expansion in the Gross-Neveu Model from Conformal Field Theory
• Large $N_f$ quantum field theory
• More on analytic bootstrap for O(N) models
• Ordinary-derivative formulation of conformal low-spin fields
• Anomalous conformal currents, shadow fields and massive AdS fields
• A note on the analyticity of AdS scalar exchange graphs in the crossed channel
• On conformal correlators and blocks with spinors in general dimensions
• Gauge invariant approach to low-spin anomalous conformal currents and shadow fields
• The free $\sigma$CFTs
• Singleton deformation of higher-spin theory and the phase structure of the three-dimensional O(N) vector model
• On overlapping Feynman (sub)graphs