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Charging Up the Functional Bootstrap
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We revisit the problem of bootstrapping CFT correlators of charged fields. After discussing in detail how bounds for uncharged fields can be recycled to the charged case, we introduce two sets of analytic functional bases for correlators on the line. The first, which we call "simple", is essentially a direct sum of analytic functionals for the uncharged case. We use it to establish very general bounds on the OPE density appearing in charged correlators. The second basis is dual to generalized free fields and we explain how it is related to a charged version of the Polyakov bootstrap. We apply these functionals to map out the space of correlators and obtain new improved bounds on the 3d Ising twist defect.
Forward citations
Cited by 3 Pith papers
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Neural Spectral Bias and Conformal Correlators I: Introduction and Applications
Simple feed-forward neural networks trained on crossing symmetry plus a single anchor value reproduce CFT correlators to percent-level accuracy, and the authors conjecture this works because physical correlators are t...
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Monodromy Pinning Defects in the Critical $\mathrm{O}(2N)$ Model
A relevant spin-v perturbation of the O(2N) monodromy defect flows to a new 'monodromy pinning' spinning DCFT whose large-N operator dimensions and one-point functions are computed.
- Bootstrapping 3D Conformal Field Theories with Product Analytic Functionals
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