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Euclidean field theories admit more general deformations than usuallydiscussed in quantum field theories because of mixing between rotationalsymmetry and internal symmetry (a.k.a topological twist). Such deformations maybe relevant, and if the subsequent renormalization group flow leads to anon-trivial fixed point, it generically gives rise to a scale invariantEuclidean field theory without conformal invariance. Motivated by an ansatzstudied in cosmological models some time ago, we develop a holographic dualdescription of such renormalization group flows in the context of AdS/CFT. Weargue that the non-trivial fixed points require fine-tuning of the bulk theoryin general, but remarkably we find that the $O(3)$ Yang-Mills theory coupledwith the four-dimensional Einstein gravity in the minimal manner supports sucha background with the Euclidean AdS metric.

Topologically twisted renormalization group flow and its holographic dual