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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Liouville strings in AdS3: the worldsheet story

  1. 1New York University
  2. 2Departamento de Física, Universidad de Buenos Aires, FCEN-UBA, Instituto de Física de Buenos Aires, IFIBA-CONICET

Abstract

A bstract : The worldsheet σ -model of strings on AdS ₃ with NS-NS fluxes can be equivalently described in terms of a Liouville field theory coupled to a timelike field with background charge, plus a marginal deformation. The operator that produces the deformation is non-normalizable and, from the string theory perspective, is associated to the spectral flow sector ω = −2. Its role is to control the winding number violation in scattering amplitudes. In the semiclassical (large k ) limit, the central charge of the Liouville factor tends to that of the dual CFT ₂ , namely c ≃ 6 k . This may appear very similar to what occurs in the Liouville-type description of the dual deformed orbifold CFT ₂ , where a twist-2 deformation operator dressed with a non-normalizable field also appears. Indeed, there are some similarities to that; however, there are also significant differences, which we discuss.

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BibTeX
@article{giribet2026liouville,
  title = {{Liouville strings in AdS3: the worldsheet story}},
  author = {Gaston Giribet and Pedro Schmied},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)217},
  url = {https://link.springer.com/article/10.1007/JHEP10(2026)217},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Liouville strings in AdS3: the worldsheet story
AU  - Gaston Giribet
AU  - Pedro Schmied
PY  - 2026
DA  - 2026/10/21
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)217
UR  - https://link.springer.com/article/10.1007/JHEP10(2026)217
AB  - A bstract : The worldsheet σ -model of strings on AdS ₃ with NS-NS fluxes can be equivalently described in terms of a Liouville field theory coupled to a timelike field with background charge, plus a marginal deformation. The operator that produces the deformation is non-normalizable and, from the string theory perspective, is associated to the spectral flow sector ω = −2. Its role is to control the winding number violation in scattering amplitudes. In the semiclassical (large k ) limit, the central charge of the Liouville factor tends to that of the dual CFT ₂ , namely c ≃ 6 k . This may appear very similar to what occurs in the Liouville-type description of the dual deformed orbifold CFT ₂ , where a twist-2 deformation operator dressed with a non-normalizable field also appears. Indeed, there are some similarities to that; however, there are also significant differences, which we discuss.
SN  - 1029-8479
ER  -