Forbidden Landscape from Holography

TL;DR

This paper identifies certain field configurations, such as scale invariant non-conformal theories and models with spontaneous Lorentz symmetry breaking, as forbidden in quantum gravity due to holographic duality constraints.

Contribution

It demonstrates that specific phenomenological models are inconsistent with quantum gravity constraints derived from holography in (1+2) dimensions.

Findings

Scale invariant non-conformal theories are impossible in (1+1) dimensions.

Models with spontaneous Lorentz symmetry breaking are forbidden in consistent quantum gravity.

Certain ghost condensation models are incompatible with holographic duality.

Abstract

We present a class of field configurations that are forbidden in the quantum gravity because of inconsistency in the dual field theory from holography. Scale invariant but non-conformal field theories are impossible in (1+1) dimension, and so should be the corresponding gravity dual. In particular, the "spontaneous Lorentz symmetry breaking" models and the "ghost condensation" models, which are well-studied in phenomenology literatures, are forbidden in any consistent quantum theories of gravity in (1+2) dimension since they predict such inconsistent field configurations.