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Paper   IPM / Particles / 16669
School of Particles and Accelerator
  Title:   Boundary conformal invariants and the conformal anomaly in five dimensions
  Author(s): 
1.  Amin Faraji Astaneh
2.  Sergey N. Solodukhin
  Status:   Published
  Journal: Phys. Lett. B
  No.:  136282
  Vol.:  816
  Year:  2021
  Supported by:  IPM
  Abstract:
In odd dimensions the integrated conformal anomaly is entirely due to the boundary terms []. 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 conformal invariant Robin boundary conditions we use the available general results for the heat kernel coefficient a5, compute the conformal anomaly and identify the corresponding values of all boundary conformal charges.

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