Four-point correlation modular bootstrap for OPE densities

Cardona, Carlos; Keeler, Cynthia; Munizzi, William

doi:10.1007/jhep10(2021)194

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Four-point correlation modular bootstrap for OPE densities

Cardona, Carlos·Keeler, Cynthia·Munizzi, William

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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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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS AdS-CFT Correspondence Conformal Field Theory Nonperturbative Effects

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Cardona, Carlos, Keeler, Cynthia, Munizzi, William. 2021-10-25. Four-point correlation modular bootstrap for OPE densities. https://doi.org/10.1007/jhep10(2021)194

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