First-order conformal perturbation theory by marginal operators

Abstract

We perform conformal perturbation theory by marginal operators to first order. A suitable renormalization method is needed that makes the conformal invariance of the deformed correlation functions manifest. Combining the embedding space formalism with the dimensional regularization, we explicitly check that the deformed and renormalized two and three point functions are conformally invariant.

Section 4 removed owing to an issue pointed out by Slava Rychkov. References added

References in corpus (3)

• Conformal perturbation theory beyond the leading order
• Conformal perturbation theory, dimensional regularization and AdS/CFT
• Action principle for OPE

Cited by in corpus (7)

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• A Sum Rule for Boundary Contributions to the Trace Anomaly
• Holographic 3d $\mathcal{N}=1$ Conformal Manifolds
• Comments on contact terms and conformal manifolds in the AdS/CFT correspondence