Four-point correlation modular bootstrap for OPE densities
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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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1991 ◽
Vol 06
(11)
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pp. 2005-2023
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1992 ◽
Vol 07
(06)
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pp. 521-532
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1993 ◽
Vol 08
(23)
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pp. 4031-4053
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2013 ◽
Vol 21
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pp. 138-139
1992 ◽
Vol 07
(05)
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pp. 853-876
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