  Euclidean field theories admit more general deformations than usually
discussed in quantum field theories because of mixing between rotational
symmetry and internal symmetry (a.k.a topological twist). Such deformations may
be relevant, and if the subsequent renormalization group flow leads to a
non-trivial fixed point, it generically gives rise to a scale invariant
Euclidean field theory without conformal invariance. Motivated by an ansatz
studied in cosmological models some time ago, we develop a holographic dual
description of such renormalization group flows in the context of AdS/CFT. We
argue that the non-trivial fixed points require fine-tuning of the bulk theory
in general, but remarkably we find that the $O(3)$ Yang-Mills theory coupled
with the four-dimensional Einstein gravity in the minimal manner supports such
a background with the Euclidean AdS metric.
