# Nonabelian M5-brane on $S^6_q$

## TL;DR

This paper calculates the conformal anomaly of a nonabelian M5-brane on a specific curved background using gravity duals, providing a general formula and confirming previous proposals.

## Contribution

It derives a general formula for the conformal anomaly of nonabelian M5-branes on curved spaces, extending prior results and confirming theoretical predictions.

## Key findings

- Computed conformal anomaly for nonabelian M5-branes on $S^1_q\times H^5$
- Derived a universal formula for the anomaly for any gauge group
- Confirmed agreement with previous theoretical proposals

## Abstract

We compute the conformal anomaly of a nonabelian M5 brane on $S^1_q\times H^5$ in the large $N$ limit by using the gravity dual of a black hole. We also obtain a general formula for this conformal anomaly for any gauge group by combining various results already present in the literature. From the conformal anomaly we extract the Casimir energy on $\mathbb{R} \times S^5$. We find agreement with the proposal in arXiv:1507.08553.