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

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.

Added references

References in corpus (13)

• Conformal collider physics: Energy and charge correlations
• Seeing a c-theorem with holography
• On Holographic Entanglement Entropy and Higher Curvature Gravity
• Precision holography for non-conformal branes
• Consistent Kaluza-Klein Reductions for General Supersymmetric AdS Solutions
• Accelerating black holes: quasinormal modes and late-time tails
• Chiral Heterotic Strings with Positive Cosmological Constant
• Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions III -- Asymptotically AdS Black Holes with $k=\pm 1$ --
• String gravity in $D=4$
• Consistent truncations in higher derivative supergravity
• AdS Wormholes from AdS/Ricci-flat Correspondence
• Unitarity of Symplectic Fermion in $\alpha$-vacua with Negative Central Charge
• Rounding out the story of higher derivative consistent truncations