Diffeomorphisms and Holographic Anomalies

TL;DR

This paper explores the connection between bulk diffeomorphisms and boundary Weyl transformations to derive a universal formula for trace anomalies in even-dimensional holographic theories.

Contribution

It introduces a universal formula for certain trace anomalies based on the parameters of the gravity action, linking bulk diffeomorphisms to boundary Weyl anomalies.

Findings

Derived a universal formula for trace anomalies in even dimensions.

Established the relation between bulk diffeomorphisms and boundary Weyl transformations.

Provided insights into the structure of holographic anomalies.

Abstract

Using the relation between diffeomorphisms in the bulk and Weyl transformations on the boundary we study the Weyl transformation properties of the bulk metric on shell and of the boundary action. We obtain a universal formula for one of the classes of trace anomalies in any even dimension in terms of the parameters of the gravity action.