Abstract
We revisit the construction of the 2d conformal blocks of primary operator four-point functions as bilocal vertex operator correlators. We find an additional interpretation as a path integral over the reparametrizations of an intermediate cylinder. As a consequence we bridge the gap between the Kähler quantization of virasoro coadjoint orbits, SL(2, ℝ) Chern-Simons theory and the reparametrization formalism of 2d CFT that has made an appearance in recent literature.
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Vos, G. Conformal blocks and bilocal vertex operator transition amplitudes. J. High Energ. Phys. 2022, 238 (2022). https://doi.org/10.1007/JHEP08(2022)238
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DOI: https://doi.org/10.1007/JHEP08(2022)238