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A lecture on the Liouville vertex operators

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arxiv hep-th/0303150 v2 pith:MFH4AQ3P submitted 2003-03-17 hep-th

A lecture on the Liouville vertex operators

classification hep-th
keywords exponentialfieldsoperatorsvertexchiralconstructionliouvilleallows
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We reconsider the construction of exponential fields in the quantized Liouville theory. It is based on a free-field construction of a continuous family or chiral vertex operators. We derive the fusion and braid relations of the chiral vertex operators. This allows us to simplify the verification of locality and crossing symmetry of the exponential fields considerably. The calculation of the matrix elements of the exponential fields leads to a constructive derivation of the formula proposed by Dorn/Otto and the brothers Zamolodchikov.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. (1,k) CFT and RH problem with the c=-2 case

    math-ph 2026-07 conditional novelty 6.0

    For (1,k) Virasoro models, periodic vertex operators plus two degenerate fields solve a modified Riemann–Hilbert problem; in the k=2, c=-2 case the solution is explicit and satisfies new bilinear identities.

  2. A perturbative Liouville prescription for the celestial three-gluon amplitude

    hep-th 2026-04 unverdicted novelty 6.0

    By fixing the Liouville-Mellin dictionary via conformal covariance and semiclassical consistency, the authors derive the leading and subleading b^2 terms of the celestial three-gluon amplitude from the DOZZ function, ...