4.4 Article

Conformal blocks and bilocal vertex operator transition amplitudes

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 8, 页码 -

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SPRINGER
DOI: 10.1007/JHEP08(2022)238

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AdS-CFT Correspondence; Scale and Conformal Symmetries

资金

  1. Grant Agency of the Czech Republic [EXPRO 20-25775X]

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In this study, we revisit the construction of primary operator four-point functions and provide an additional interpretation as a path integral over the reparametrizations of an intermediate cylinder. This approach bridges the gap between different research fields and provides a more complete understanding of the topic.
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 Kahler 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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