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  • Letter
  • Open Access

Method of images in defect conformal field theories

Tatsuma Nishioka1, Yoshitaka Okuyama1,2, and Soichiro Shimamori1

  • 1Department of Physics, Osaka University, Machikaneyama-Cho 1-1, Toyonaka 560-0043, Japan
  • 2Department of Physics, Faculty of Science, The University of Tokyo, Bunkyo-Ku, Tokyo 113-0033, Japan
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Phys. Rev. D 106, L081701 – Published 7 October, 2022

DOI: https://doi.org/10.1103/PhysRevD.106.L081701

Abstract

We propose a prescription for describing correlation functions in higher-dimensional defect conformal field theories (DCFTs) by those in ancillary conformal field theories (CFTs) without defects, which is a vast generalization of the image method in two-dimensional boundary CFTs. A correlation function of n operators inserted away from a defect in a DCFT is represented by a correlation function of 2n operators in the ancillary CFT, each pair of which is placed symmetrically with respect to the defect. We establish the correspondence by matching the constraints on correlation functions imposed by conformal symmetry on both sides. Our method has the potential to shed light on new aspects of DCFTs from the viewpoint of conventional CFTs.

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Outline

Information

Phys. Rev. D 106, L081701– Published 7 October, 2022
  • Received 3 June 2022
  • Accepted 22 September 2022
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