Comments on higher-derivative corrections in the AdS/CFT duality
High Energy Physics - Theory
2026-05-18 v1 General Relativity and Quantum Cosmology
Abstract
We point out that some works on higher-derivative corrections in the AdS/CFT duality use inappropriate "AdS/CFT dictionary." We illustrate the problem using a class of holographic superconductors in the Gauss-Bonnet black hole background. We also point out another problem in previous works. These modifications can change the qualitative behavior of physical quantities such as the spontaneous condensate. Whether the condensate increases or decreases under higher-derivative corrections depends on the system one considers, and there is no universality in this sense.
Cite
@article{arxiv.2605.15478,
title = {Comments on higher-derivative corrections in the AdS/CFT duality},
author = {Makoto Natsuume},
journal= {arXiv preprint arXiv:2605.15478},
year = {2026}
}
Comments
5 pages, Honorable Mention in the Gravity Research Foundation 2026 Awards for Essays on Gravitation, partly include results from arXiv:2407.13956 and arXiv:2409.18323