The lightcone bootstrap and the spectrum of the 3d Ising CFT

@article{SimmonsDuffin2016TheLB,
  title={The lightcone bootstrap and the spectrum of the 3d Ising CFT},
  author={D. Simmons-Duffin},
  journal={Journal of High Energy Physics},
  year={2016},
  volume={2017},
  pages={1-85}
}
We compute numerically the dimensions and OPE coefficients of several operators in the 3d Ising CFT, and then try to reverse-engineer the solution to crossing symmetry analytically. Our key tool is a set of new techniques for computing infinite sums of SL(2, ℝ$$ \mathrm{\mathbb{R}} $$) conformal blocks. Using these techniques, we solve the lightcone bootstrap to all orders in an asymptotic expansion in large spin, and suggest a strategy for going beyond the large spin limit. We carry out the… Expand
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