Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 6, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP06(2020)142
Keywords
Conformal and W Symmetry; Conformal Field Theory; Global Symmetries
Categories
Funding
- Simons Foundation [488657, 488651]
- Sloan Research Fellowship
- DOE Early Career Award [DE-SC0019085]
- DOE [DE-SC0020318]
- European Research Council (ERC) [758903]
- Swiss National Science Foundation (SNSF) [PP00P2-163670]
- Zuckerman STEM Leadership Fellowship
- National Science Foundation [PHY190023, ACI1548562]
- SNSF [PP00P2-163670]
- Caltech High Performance Cluster
- Gordon and Betty Moore Foundation
- Grace computing cluster
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We develop new tools for isolating CFTs using the numerical bootstrap. A cutting surface algorithm for scanning OPE coefficients makes it possible to find islands in high-dimensional spaces. Together with recent progress in large-scale semidefinite programming, this enables bootstrap studies of much larger systems of correlation functions than was previously practical. We apply these methods to correlation functions of charge-0, 1, and 2 scalars in the 3d O(2) model, computing new precise values for scaling dimensions and OPE coefficients in this theory. Our new determinations of scaling dimensions are consistent with and improve upon existing Monte Carlo simulations, sharpening the existing decades-old 8 sigma discrepancy between theory and experiment.
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