# Boundary conformal invariants and the conformal anomaly in five dimensions

Abstract : In odd dimensions the integrated conformal anomaly is entirely due to the boundary terms \cite{Solodukhin:2015eca}. 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 $a_5$, compute the conformal anomaly and identify the corresponding values of all boundary conformal charges.
Document type :
Preprints, Working Papers, ...
Domain :

https://hal.archives-ouvertes.fr/hal-03143759
Contributor : Sergey Solodukhin <>
Submitted on : Wednesday, February 17, 2021 - 7:39:01 AM
Last modification on : Thursday, February 18, 2021 - 3:21:16 AM

### Identifiers

• HAL Id : hal-03143759, version 1
• ARXIV : 2102.07661

### Citation

Sergey Solodukhin, Amin Faraji Astaneh. Boundary conformal invariants and the conformal anomaly in five dimensions. 2021. ⟨hal-03143759⟩

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