# Entanglement entropy vs. free energy in IIB supergravity duals for 5d SCFTs

## TL;DR

This paper investigates the relationship between entanglement entropy and free energy in holographic duals of 5d SCFTs, demonstrating well-defined results despite mild singularities, thereby supporting their interpretation as valid duals.

## Contribution

It provides the first quantitative analysis linking entanglement entropy and free energy in IIB supergravity duals for 5d SCFTs, validating the solutions despite singularities.

## Key findings

- Results are well-defined and consistent with expectations.
- Singularities do not hinder the holographic interpretation.
- Supports the duality between the supergravity solutions and 5d SCFTs.

## Abstract

We study entanglement entropy and the free energy in recently constructed holographic duals for 5d SCFTs in type IIB supergravity. The solutions exhibit mild singularities, which could potentially complicate holographic applications. We use the relation of the entanglement entropy for a spherical entangling surface to the free energy of the field theory on the five sphere as a well-motivated benchmark to assess how problematic the singularities are. The holographic supergravity computations give well-defined results for both quantities and they satisfy the expected relations. This supports the interpretation of the solutions as holographic duals for 5d SCFTs and gives first quantitative indications for the nature of the dual SCFTs.