Abstract
Higher dimensional Euclidean Liouville conformal field theories (LCFTs) consist of a log-correlated real scalar field with a background charge and an exponential potential. We analyse the LCFT on a four-dimensional manifold with a boundary. We extend to the boundary, the conformally covariant GJMS operator and the \( \mathcal{Q} \)-curvature term in the LCFT action and classify the conformal boundary conditions. Working on a flat space with plate boundary, we calculate the dimensions of the boundary conformal primary operators, the two- and three-point functions of the displacement operator and the boundary conformal anomaly coefficients.
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Acknowledgments
AG would like to thank S. Biswas for useful discussions. This work is supported in part by Israeli Science Foundation excellence center, the US-Israel Binational Science Foundation and the Israel Ministry of Science.
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Gaikwad, A., Kislev, A.C., Levy, T. et al. Boundary Liouville conformal field theory in four dimensions. J. High Energ. Phys. 2024, 271 (2024). https://doi.org/10.1007/JHEP07(2024)271
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DOI: https://doi.org/10.1007/JHEP07(2024)271