Abstract
In this work we apply the lightcone bootstrap to a four-point function of scalars in two-dimensional conformal field theory. We include the entire Virasoro symmetry and consider non-rational theories with a gap in the spectrum from the vacuum and no conserved currents. For those theories, we compute the large dimension limit (h/c ≫ 1) of the OPE spectral decomposition of the Virasoro vacuum. We then propose a kernel ansatz that generalizes the spectral decomposition beyond h/c ≫ 1. Finally, we estimate the corrections to the OPE spectral densities from the inclusion of the lightest operator in the spectrum.
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Cardona, C., Keeler, C. & Munizzi, W. Four-point correlation modular bootstrap for OPE densities. J. High Energ. Phys. 2021, 194 (2021). https://doi.org/10.1007/JHEP10(2021)194
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DOI: https://doi.org/10.1007/JHEP10(2021)194