The Bootstrap Program for Boundary CFT_d
read the original abstract
We study the constraints of crossing symmetry and unitarity for conformal field theories in the presence of a boundary, with a focus on the Ising model in various dimensions. We show that an analytic approach to the bootstrap is feasible for free-field theory and at one loop in the epsilon expansion, but more generally one has to resort to numerical methods. Using the recently developed linear programming techniques we find several interesting bounds for operator dimensions and OPE coefficients and comment on their physical relevance. We also show that the "boundary bootstrap" can be easily applied to correlation functions of tensorial operators and study the stress tensor as an example. In the appendices we present conformal block decompositions of a variety of physically interesting correlation functions.
This paper has not been read by Pith yet.
Forward citations
Cited by 11 Pith papers
-
Boundary anomalous dimensions from BCFT: $\phi^{3}$ theories with a boundary and higher-derivative generalizations
Leading epsilon corrections to boundary anomalous dimensions and OPE coefficients in phi^3 BCFTs for Yang-Lee and S_{N+1} Potts models, plus higher-derivative generalizations.
-
Direct Experimental Test of Conformal Invariance via Grazing Scattering: A Proposal for X-ray and Neutron Experiments
The paper proposes an experimental protocol for grazing-incidence X-ray or neutron scattering that would directly test conformal invariance in critical phenomena by verifying a momentum-space differential constraint o...
-
Crosscap Defects
Crosscap defects are introduced in CFTs via Z2 quotients, with crossing equations derived and CFT data computed in the O(N) model at Gaussian and Wilson-Fisher points showing absent displacement and tilt operators for...
-
Crosscap Defects
Crosscap defects from Z2 spacetime quotients in CFTs yield new crossing equations and O(N) model examples without displacement or tilt operators, forming defect conformal manifolds lacking exactly marginal operators.
-
Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT
Defect charges under generalized symmetries correspond one-to-one with gapped boundary conditions of the Symmetry TFT Z(C) on Y = Σ_{d-p+1} × S^{p-1} via dimensional reduction.
-
Neural Networks Reveal a Universal Bias in Conformal Correlators
Neural networks trained on crossing symmetry accurately reconstruct conformal correlators from minimal inputs due to alignment between their spectral bias and CFT smoothness.
-
Conformal Bootstrap with Duality-Inspired Fusion Rule
Imposing a duality-inspired fusion rule that forbids the [ε] sector from appearing in the [ε] × [ε] OPE yields numerical bounds on (Δ_σ, Δ_ε) that include the 2d Ising model but exclude the 3d Ising model.
-
Boundary criticality in two-dimensional interacting topological insulators
Numerical study of the Kane-Mele-Hubbard-Rashba model reveals ordinary, special BKT-type, and extraordinary boundary transitions enriched by topological edge states.
-
Boundary conformal field theory, holography and bulk locality
One-loop bulk calculations in holographic BCFT with EOW brane yield scalar correlators whose analytic properties are incompatible with boundary conformal symmetry expectations.
-
Universalities of Defects in Quantum Field Theories
A dissertation synthesizing universal aspects of defect dynamics in QFT through symmetry principles across defect RG flows, effective strings, and quantum gas impurities.
-
Strongly Coupled Quantum Field Theory in Anti-de Sitter Spacetime
Develops a Functorial QFT approach and applies it to analyze the O(N) model in AdS, focusing on crossed-channel diagram contributions to conformal block decomposition in the non-singlet sector.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.