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.
Constraints on RG Flows from Holographic Entanglement Entropy
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We examine the RG flow of a candidate c-function, extracted from the holographic entanglement entropy of a strip-shaped region, for theories with broken Lorentz invariance. We clarify the conditions on the geometry that lead to a break-down of monotonic RG flows as is expected for generic Lorentz-violating field theories. Nevertheless we identify a set of simple criteria on the UV behavior of the geometry which guarantee a monotonic c-function. Our analysis can thus be used as a guiding principle for the construction of monotonic RG trajectories, and can also prove useful for excluding possible IR behaviors of the theory.
citation-role summary
background 1
citation-polarity summary
fields
hep-th 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
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.