# Four-point correlation modular bootstrap for OPE densities

@inproceedings{Cardona2021FourpointCM, title={Four-point correlation modular bootstrap for OPE densities}, author={Carlos A. Cardona and Cynthia A. Keeler and William Munizzi}, year={2021} }

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… Expand

#### One Citation

Virasoro conformal bootstrap with $c>1$

- Physics
- 2021

We derive new constraints on the spectrum of two-dimensional conformal field theories with central charge c > 1. Employing the pillow representation of the four point correlator of identical scalars… Expand

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