TY - JOUR
T1 - Boundary Liouville conformal field theory in four dimensions
AU - Gaikwad, Adwait
AU - Kislev, Amitay C.
AU - Levy, Tom
AU - Oz, Yaron
N1 - Publisher Copyright:
© The Author(s) 2024.
PY - 2024/7
Y1 - 2024/7
N2 - 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 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.
AB - 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 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.
KW - Anomalies in Field and String Theories
KW - Boundary Quantum Field Theory
UR - http://www.scopus.com/inward/record.url?scp=85200215665&partnerID=8YFLogxK
U2 - 10.1007/JHEP07(2024)271
DO - 10.1007/JHEP07(2024)271
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AN - SCOPUS:85200215665
SN - 1126-6708
VL - 2024
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 7
M1 - 271
ER -