2017/07/11 by Charles Melby-Thompson, Charles M. Melby–Thompson, Cornelius Schmidt-Colinet
Chemistry · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Chemistry #Conformal map #Cosmology and Gravitation Theories #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Physics #Quantum Chromodynamics and Particle Interactions #Scalar (mathematics) #TRACE (psycholinguistics) #Trace operator #hep-th
paper · pdf · doi:10.1007/jhep11(2017)110
59 pages, 2 figures
arxiv created 2017/07/11 · openalex publication_date 2017/11/01 · arxiv updated 2017/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract We introduce and study renormalization group interfaces between two holographic conformal theories which are related by deformation by a scalar double trace operator. At leading order in the 1/ N expansion, we derive expressions for the two point correlation functions of the scalar, as well as the spectrum of operators living on the interface. We also compute the interface contribution to the sphere partition function, which in two dimensions gives the boundary g factor. Checks of our proposal include reproducing the g factor and some defect overlap coefficients of Gaiotto’s RG interfaces at large N , and the two-point correlation function whenever conformal perturbation theory is valid.