Holographic renormalization of Horndeski gravity

Cáceres De La Fuente, Nicolás Alberto; Corral, Cristóbal; Díaz, Felipe; Olea, Rodrigo

Holographic renormalization of Horndeski gravity

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13130_2024_Article_23400.pdf(580.55 KB)

Date

2024

Authors

Cáceres De La Fuente, Nicolás Alberto

Corral, Cristóbal

Díaz, Felipe

Olea, Rodrigo

Abstract

We study the renormalization of a particular sector of Horndeski theory. In particular, we focus on the nonminimal coupling of a scalar field to the Gauss-Bonnet term and its kinetic coupling to the Einstein tensor. Adopting a power expansion on the scalar function that couples the Gauss-Bonnet term, we find specific conditions on their coefficients such that the action and charges are finite. To accomplish the latter, we add a finite set of intrinsic boundary terms. The contribution of the nonminimal coupling generates an effective scalar mass, allowing us to recover a modified Breitenlohner-Freedman bound. Furthermore, we compute the holographic 1-point functions and Ward identities associated with the scalar field and the metric. We constrain the parameter space of the theory by taking into account the preservation of scaling symmetry at the boundary.

Keywords

Gauge-Gravity correspondence, AdS-CFT correspondence, Classical theories of gravity

Citation

Journal of High Energy Physics. 2024 May 10;2024(5):125

URI

https://doi.org/10.1007/JHEP05(2024)125
https://repositorio.uc.cl/handle/11534/85713

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