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.
Field theory aspects of $ \eta $-deformed superstring background
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abstract
We explore various field theory aspects of integrable $ \eta $-deformed geometry in type IIB supergravity by employing several holographic probes. These include the computation of holographic timelike entanglement entropy and estimation of various other field theory observables for example, the flow central charge and the quantum complexity. We also discuss the associated brane set up and compute Page charges. We further use them to calculate the coupling constant in the dual QFTs considering both small and large deformation limits.
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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.