2018/05/31 by Andreas Karch, Yoshiki Sato · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Boundary conformal field theory #Conformal field theory #Conformal map #Conformal symmetry #Extremal length #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #Operator product expansion #Primary field #Product (mathematics) #hep-th
paper · pdf · doi:10.1007/jhep07(2018)156
17 pages, 1 figure, v2: published version in JHEP
openalex created_date 2018/06/01 · openalex publication_date 2018/07/01 · arxiv created 2018/07/24 · arxiv updated 2018/08/15 · openalex updated_date 2026/08/05
A bstract 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 β -functions vanish using a position space regularization, differential regularization. Where possible, we confirm that our β -function results agree with the existing literature.