Holographic Conformal Anomaly and a-Theorem in 5D Scalar-Tensor Theories from Heterotic Strings

TL;DR

This paper derives the holographic conformal anomaly in five-dimensional scalar-tensor theories from heterotic string reductions, demonstrating the impact of string-inspired modifications on conformal anomalies and RG flows.

Contribution

It provides a unified derivation of the conformal anomaly in two scalar-tensor theories from heterotic strings and constructs exact solutions, establishing a holographic a-theorem.

Findings

Confirmed consistency of AdS/CFT with non-minimal scalar couplings

Constructed exact asymptotically AdS solutions with linear dilaton profiles

Showed string modifications influence conformal anomalies and RG structure

Abstract

We present a novel derivation of the full holographic conformal anomaly in two five-dimensional scalar-tensor theories-one Lovelock-Horndeski type and one Einstein-dilaton-Gauss-Bonnet-obtained via a unified mechanism for Kaluza-Klein reduction of the ten-dimensional heterotic string effective action. In the Lovelock-Horndeski case, we also construct exact asymptotically AdS solutions with linear dilaton profiles and establish a holographic a-theorem. Our results confirm the consistency of AdS/CFT in the presence of non-minimal scalar couplings and higher curvature terms, and show how string-theoretic modifications control the emergence of conformal anomalies and constrain the RG structure of dual field theories.