Double Trace Interfaces

Abstract

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.

59 pages, 2 figures

References in corpus (41)

• AdS/CFT Correspondence and Symmetry Breaking
• Bounding scalar operator dimensions in 4D CFT
• W-symmetry in Conformal Field Theory
• An AdS_3 Dual for Minimal Model CFTs
• The Bootstrap Program for Boundary CFT_d
• Conformal Field Theories Near a Boundary in General Dimensions
• Minimal Model Holography
• A Dilatonic Deformation of AdS_5 and its Field Theory Dual
• Emergent Spacetime and Holographic CFTs
• Higher Spins & Strings
• A Mellin space approach to the conformal bootstrap
• One Loop Tests of Higher Spin AdS/CFT
• Boundary and Interface CFTs from the Conformal Bootstrap
• Reflection and Transmission for Conformal Defects
• Defect Conformal Field Theory and Locally Localized Gravity
• Partition functions and double-trace deformations in AdS/CFT
• Search for the ${\Lambda }_b\to \Lambda {\eta }^{\prime }$ and ${\Lambda }_b\to \Lambda \eta$ decays with the LHCb detector
• Permutation Branes
• The Large N 't Hooft Limit of Coset Minimal Models
• Exact Half-BPS Flux Solutions in M-theory I, Local Solutions
• Universal Entanglement and Boundary Geometry in Conformal Field Theory
• Domain Walls for Two-Dimensional Renormalization Group Flows
• A non-rational CFT with c=1 as a limit of minimal models
• Supersymmetric Janus Solutions in Four Dimensions
• Defects and Bulk Perturbations of Boundary Landau-Ginzburg Orbifolds
• Janus solutions in M-theory
• Symmetry Breaking Boundary States and Defect Lines
• Boundary terms of conformal anomaly
• Conformal anomalies of CFT's with boundaries
• Limits of minimal models and continuous orbifolds
• Boundary states in coset conformal field theories
• Correlators in W_N Minimal Model Revisited
• The Large N 't Hooft Limit of Kazama-Suzuki Model
• Janus Black Holes
• Supersymmetric RG flows and Janus from type II orbifold compactification
• Limits and Degenerations of Unitary Conformal Field Theories
• Reflection and transmission of conformal perturbation defects
• Conformal Janus on Euclidean Sphere
• Holographic two-point functions for Janus interfaces in the $D1/D5$ CFT
• Index hypergeometric transform and imitation of analysis of Berezin kernels on hyperbolic spaces
• Lifshitz-like Janus Solutions

Cited by in corpus (7)

• Universality at large transverse spin in defect CFT
• Analytic Bootstrap for Boundary CFT
• Simplifying large spin bootstrap in Mellin space
• Towards a Bootstrap approach to higher orders of epsilon expansion
• Superconformal RG interfaces in holography
• Re-visiting Supersymmetric Janus Solutions: A Perturbative Construction
• Holographic RG Flows for Kondo-like Impurities