Boundary Liouville Conformal Field Theory in Four Dimensions

2023/12/22 by Gaikwad, Adwait, Kislev, Amitay C., Levy, Tom +1 · 1 citation
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2312.14744

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 \cal 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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• Auxiliary-Field Formalism for Higher-Derivative Boundary CFTs

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