Frame-independent holographic conserved charges

TL;DR

This paper introduces a modified, frame- and scheme-independent method for calculating holographic conserved charges, demonstrated through five-dimensional AdS Kerr black holes, ensuring consistent results across different frames.

Contribution

The paper presents a new form of holographic conserved charges that are independent of both the frame and the renormalization scheme, improving consistency and reliability.

Findings

The new charges match covariant bulk expressions.

They are identical in rotating and non-rotating frames.

The method enhances the robustness of holographic charge calculations.

Abstract

We propose the modified form of the conventional holographic conserved charges which provides us the frame-independent expressions for charges. This form is also preferable to the conventional one since it is independent of the holographic renormalization scheme. We show the frame and scheme independence through the matching of our holographic expression to the covariant bulk expression of conserved charges. As an explicit example, we consider five-dimensional AdS Kerr black holes and show that our form of holographic conserved charges gives us the identical expressions in the rotating and non-rotating frames.