Conformal blocks and bilocal vertex operator transition amplitudes

0567141 - FZÚ 2023 RIV US eng J - Journal Article
Vos, Gideon
Conformal blocks and bilocal vertex operator transition amplitudes.
Journal of High Energy Physics. Roč. 2022, č. 8 (2022), č. článku 238. ISSN 1029-8479. E-ISSN 1029-8479
R&D Projects: GA ČR(CZ) GX20-25775X
Institutional support: RVO:68378271
Keywords : AdS-CFT correspondence * scale and conformal Symmetries
OECD category: Particles and field physics
Impact factor: 5.4, year: 2022
Method of publishing: Open access

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.
Permanent Link: https://hdl.handle.net/11104/0338424