Holographic renormalization of Horndeski gravity

• DOI: 10.1007/jhep05(2024)125
• Publication Date: 2024-05-13T02:01:32Z
• Authors: Nicolás Cáceres; Cristóbal Corral; Felipe Díaz; Rodrigo Olea
• Keywords: High Energy Physics - Theory; Gauge-Gravity correspondence; Matemática física y química; Classical theories of gravity; 500; FOS: Physical sciences; QC770-798; General Relativity and Quantum Cosmology (gr-qc); AdS-CFT Correspondence; 530; 01 natural sciences; General Relativity and Quantum Cosmology; 510; AdS-CFT correspondence; High Energy Physics - Theory (hep-th); Nuclear and particle physics. Atomic energy. Radioactivity; 0103 physical sciences; Classical Theories of Gravity; Gauge-Gravity Correspondence

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