PreprintCC0arXiv
Boundary c≤1 Liouville CFT from the Bootstrap
Abstract
We construct boundary Liouville conformal field theory at central charge c≤1 with FZZT-type boundary conditions and show that it satisfies the Cardy--Lewellen sewing constraints on the disk and the annulus. Using the analytic bootstrap we derive the so far missing boundary three-point and bulk-to-boundary structure constants and a consistent disk one-point function as explicit meromorphic functions of the Liouville momenta. In sharp contrast to c≥25, the open-string spectrum between two ``timelike'' FZZT boundaries is \emph{discrete}, yet non-trivially consistent through open-closed duality with the \emph{continuous} closed-string spectrum of Ribault and Santachiara.
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BibTeX
@misc{betzios2026boundary,
title = {{Boundary $c\leq1$ Liouville CFT from the Bootstrap}},
author = {Panos Betzios and Paul Ghiringhelli and Olga Papadoulaki and Ioannis Tsiares},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.05378},
eprint = {2611.05378},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.05378},
note = {CC0},
}
RIS
TY - UNPB
TI - Boundary c≤1 Liouville CFT from the Bootstrap
AU - Panos Betzios
AU - Paul Ghiringhelli
AU - Olga Papadoulaki
AU - Ioannis Tsiares
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.05378
UR - https://arxiv.org/abs/2611.05378
AB - We construct boundary Liouville conformal field theory at central charge c≤1 with FZZT-type boundary conditions and show that it satisfies the Cardy--Lewellen sewing constraints on the disk and the annulus. Using the analytic bootstrap we derive the so far missing boundary three-point and bulk-to-boundary structure constants and a consistent disk one-point function as explicit meromorphic functions of the Liouville momenta. In sharp contrast to c≥25, the open-string spectrum between two ``timelike'' FZZT boundaries is \emph{discrete}, yet non-trivially consistent through open-closed duality with the \emph{continuous} closed-string spectrum of Ribault and Santachiara.
ER -