Boundary conformal invariants and the conformal anomaly in five dimensions

Amin Faraji Astaneh, Sergey N. Solodukhin
2021 Physics Letters B  
In odd dimensions the integrated conformal anomaly is entirely due to the boundary terms [1] . In this paper we present a detailed analysis of the anomaly in five dimensions. We give the complete list of the boundary conformal invariants that exist in five dimensions. Additionally to 8 invariants known before we find a new conformal invariant that contains the derivatives of the extrinsic curvature along the boundary. Then, for a conformal scalar field satisfying either the Dirichlet or the
more » ... ormal invariant Robin boundary conditions we use the available general results for the heat kernel coefficient a 5 , compute the conformal anomaly and identify the corresponding values of all boundary conformal charges.
doi:10.1016/j.physletb.2021.136282 fatcat:qek4mzifa5bdpag4bm66godjra