# 6d superconformal Cardy formulas

## TL;DR

This paper derives the leading and subleading free energy contributions of 6d superconformal field theories in the Cardy limit from anomaly polynomials, linking to black hole entropy in AdS7.

## Contribution

It introduces a method to compute the superconformal index of 6d SCFTs in the Cardy limit using anomaly polynomials, providing new insights into their holographic duals.

## Key findings

- Leading free energy computed from anomaly polynomials
- Subleading corrections identified in the Cardy limit
- Matches black hole entropy in dual AdS7

## Abstract

We study the superconformal index of 6d SCFTs from their 't Hooft anomalies. In the Cardy limit where the angular momenta on $S^5$ are large, we show that the leading free energy, as well as a few subleading corrections, can be computed from the 6d anomaly polynomials. Our large $N$ free energy accounts for the entropy of supersymmetric black holes in dual $AdS_7$.