Boundary Liouville Conformal Field Theory in Four Dimensions
High Energy Physics - Theory
2024-07-26 v2
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 -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.
Keywords
Cite
@article{arxiv.2312.14744,
title = {Boundary Liouville Conformal Field Theory in Four Dimensions},
author = {Adwait Gaikwad and Amitay C. Kislev and Tom Levy and Yaron Oz},
journal= {arXiv preprint arXiv:2312.14744},
year = {2024}
}