A holographic c-function derived from timelike entanglement entropy is shown to be monotonic along RG flows in Poincare invariant, Lifshitz, and hyperscaling-violating theories, given null energy and thermodynamic stability conditions.
We demonstrated that non- Lorentz-invariant renormalization group flows obey time- like entanglement RG monotonicity, thereby establish- ing a deep connection between the two
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Holographic Timelike c-function
A holographic c-function derived from timelike entanglement entropy is shown to be monotonic along RG flows in Poincare invariant, Lifshitz, and hyperscaling-violating theories, given null energy and thermodynamic stability conditions.