Recognition: unknown
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 3 Pith papers
-
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 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.
-
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.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.