# Holography in Lovelock Chern-Simons AdS Gravity

## TL;DR

This paper explores the holographic duality of Lovelock Chern-Simons AdS gravity in higher dimensions, analyzing symmetries, anomalies, and quantum symmetry breaking in the dual conformal field theory.

## Contribution

It provides a detailed analysis of asymptotic symmetries, Ward identities, and quantum anomalies in the holographic dual of Lovelock Chern-Simons AdS gravity.

## Key findings

- Identified local symmetries including translations, Lorentz rotations, dilatations, and gauge transformations.
- Computed 1-point functions of energy-momentum and spin currents in the dual CFT.
- Discovered Weyl anomaly and non-Abelian gauge symmetry breaking at the quantum level.

## Abstract

We analyse holographic field theory dual to Lovelock Chern-Simons AdS Gravity in higher dimensions using first order formalism. We first find asymptotic symmetries in the AdS sector showing that they consist of local translations, local Lorentz rotations, dilatations and non-Abelian gauge transformations. Then, we compute $1$-point functions of energy-momentum and spin currents in a dual conformal field theory and write Ward identities. We find that the holographic theory possesses Weyl anomaly and also breaks non-Abelian gauge symmetry at the quantum level.