Conformal Manifolds with Boundaries or Defects

Abstract

We discuss conformal manifolds for conformal field theories with boundaries or defects. Using conformal perturbation theory we derive constraints on coefficients appearing in the boundary operator product expansion and three-point functions that need to be satisfied for the existence of marginal couplings. We present several explicit examples where we confirm that $\beta$-functions vanish using a position space regularization, differential regularization. Where possible, we confirm that our $\beta$-function results agree with the existing literature.

arXiv comment17 pages, 1 figure, v2: published version in JHEP

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• Conformal Boundary Condition and Massive Gravitons in AdS/BCFT
• The epsilon expansion of the O$(N)$ model with line defect from conformal field theory
• Renormalization and conformal invariance of non-local quantum electrodynamics
• Correlators of Mixed Symmetry Operators in Defect CFTs
• Polyakov's confinement mechanism for generalized Maxwell theory
• Defects and Perturbation
• Critical properties of three-dimensional many-flavour QEDs
• Two-loop mass anomalous dimension in reduced quantum electrodynamics and application to dynamical fermion mass generation
• A network of hyperloops