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

## TL;DR

This paper calculates the conformal anomaly of the abelian M5 brane on a deformed six-sphere, confirming previous results and providing new insights into free energies and Renyi entropies.

## Contribution

It presents the first computation of the conformal anomaly for the abelian M5 brane on $S^6_q$, including Casimir energy contributions and a proposed shift in Renyi entropy.

## Key findings

- Results agree with previous $S^1 \times \mathbb{H}^5$ computations.
- Identifies missing Casimir energy contributions in free energies.
- Proposes a constant shift for the Renyi entropy of the selfdual two-form.

## Abstract

We compute the conformal anomaly of the abelian M5 brane on a conical deformation $S^6_q$ of the round six-sphere. Our results agree with corresponding results on $S^1 \times \mathbb{H}^5$ that were obtained in arXiv:1511.00313. For the free energies we obtain missing Casimir energy contributions, inconsequental for the Renyi entropies, and we obtain the proposed constant shift for the Renyi entropy of the selfdual two-form.