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arXiv · 2112.15125

Conformal Blocks and Bilocal Vertex Operator Transition Amplitudes

Gideon Vos
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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 K\"ahler quantization of virasoro coadjoint orbits, $SL(2,\mathbb{R})$ Chern-Simons theory and the reparametrization formalism of 2d CFT that has made an appearance in recent literature.

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Gideon Vos. 2021-12-30. Conformal Blocks and Bilocal Vertex Operator Transition Amplitudes. https://doi.org/10.1007/jhep08(2022)238

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