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

TL;DR

This paper critiques the use of the AdS/CFT dictionary in higher-derivative correction studies, showing that such modifications can qualitatively alter physical predictions like the condensate behavior.

Contribution

It highlights issues with previous approaches in applying the AdS/CFT dictionary to higher-derivative corrections, emphasizing the lack of universality in condensate responses.

Findings

Inappropriate dictionary use can change qualitative physical behaviors.

Higher-derivative corrections do not have a universal effect on condensates.

Previous works may have overlooked key issues in holographic models.

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.