Frame-independent holographic conserved charges

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.

arXiv comment1+11 pages, plain LaTeX, v2: typos in eqs. fixed, v3 version to appear in PRD

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• Mass and angular momentum of black holes in low-energy heterotic string theory
• Canonical energy and hairy AdS black holes
• Revisit to Thermodynamic Relations in the AdS/CMT Models
• Thermodynamics of Inhomogeneously Mass-deformed ABJM Model and Pressure Anisotropy
• Abbott-Deser-Tekin like conserved quantities in Lanczos-Lovelock gravity: beyond Killing diffeomorphisms
• Generalized ADT charges and asymptotic symmetry algebra