Castro, A., & Martinez, P. J. (2024). Revisiting Extremal Couplings in AdS/CFT. [Preprint]. arXiv:2409.15410v2 [hep-th].
This paper investigates the implications of incorporating "extremal couplings" into the AdS/CFT correspondence, a framework typically neglecting such couplings. The authors aim to understand the consequences of these couplings on the correlation functions within the dual Conformal Field Theory (CFT).
The authors employ a bottom-up approach, focusing on a simplified model of massive scalar fields in Anti-de Sitter (AdS) spacetime with cubic extremal interactions. They utilize an asymptotic cutoff prescription to regulate divergent integrals arising from these couplings and employ holographic renormalization techniques to render the on-shell action finite.
The inclusion of extremal couplings in the AdS/CFT correspondence, while leading to initial divergences, can be consistently incorporated through renormalization. This inclusion results in a richer and more intricate structure within the dual CFT, characterized by operator mixing and anomalous dimensions.
This work challenges the conventional practice of neglecting extremal couplings in AdS/CFT, highlighting their non-trivial effects on the holographic dictionary. It provides a deeper understanding of the correspondence and opens avenues for exploring new CFT phenomena.
The study focuses on a simplified model of scalar fields with cubic interactions. Further research could explore the implications of extremal couplings in more complex scenarios involving higher-spin fields, different interaction terms, and higher-order corrections. Investigating the potential implications for specific top-down AdS/CFT models would also be of interest.
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by Alejandra Ca... at arxiv.org 10-07-2024
https://arxiv.org/pdf/2409.15410.pdfDeeper Inquiries