Comments on higher-derivative corrections in the AdS/CFT duality

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 higherderivative corrections depends on the system one considers, and there is no universality in this sense.

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Publication Details

Journal
International Journal of Modern Physics D
Published
2026-08-28
DOI
https://doi.org/10.1142/s0218271826410221
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
0.00
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article

Comments on higher-derivative corrections in the AdS/CFT duality

Makoto Natsuume
International Journal of Modern Physics D
Black Holes and Theoretical Physics
article

Comments on higher-derivative corrections in the AdS/CFT duality

Makoto Natsuume
article en

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 higherderivative corrections depends on the system one considers, and there is no universality in this sense.

International Journal of Modern Physics D
Twitter (United States) (US)
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Black Holes and Theoretical Physics
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