Transgressions and Holographic Conformal Anomalies for Chern-Simons Gravities

TL;DR

This paper introduces a novel approach to calculating holographic Weyl anomalies in Chern-Simons gravity theories using Transgression forms, enhancing understanding of their structure and regularization.

Contribution

It presents two new calculations of holographic anomalies based on Transgression forms, offering insights into gauge invariance and regularization in Chern-Simons gravities.

Findings

New calculations of holographic Weyl anomalies

Use of Transgression forms for boundary regularization

Improved understanding of Chern-Simons gravity structure

Abstract

I present two calculations of the holographic Weyl anomalies induced by Chern-Simons gravity theories alternative to the ones presented in the literature. The calculations presented here rest on the extension from Chern-Simons to Transgression forms as lagrangians, motivated by gauge invariance, which automatically yields the boundary terms suitable to regularize the theory. The procedure followed here sheds light in the structure of Chern-Simons gravities and their regularization.