2018/05/31 by Sunny Guha, Balakrishnan Nagaraj
Materials Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Conformal map #Conformal symmetry #Correlation #Correlation function (quantum field theory) #Embedding #Euclidean geometry #Formalism (music) #Invariant (physics) #Nonlinear Optical Materials Research #X-ray Diffraction in Crystallography #hep-th
paper · pdf · doi:10.1007/jhep10(2018)198
published as J. High Energ. Phys. (2018) 2018: 198 · 39 pages, 3 figures v2: published version. Corrected typos and results from section 4.3 of v1
openalex created_date 2018/06/13 · openalex publication_date 2018/10/01 · arxiv created 2018/11/02 · arxiv updated 2018/11/06 · openalex updated_date 2026/08/05
A bstract We use the embedding formalism technique to study correlation functions of a d -dimensional Euclidean CFT in the presence of a q co-dimensional defect. The defect breaks the global conformal group SO( d + 1 , 1) into SO( d − q + 1 , 1) × SO( q ). We calculate all possible invariant structures that can appear in one-point, two-point and three-point correlation functions of bulk and defect operators in mixed symmetry representation. Their generalization to n -point correlation functions are also worked out. Correlation functions in the presence of a defect, in arbitrary representation of SO( q ), are also calculated.