RG flows and thermofield-double states in holography

A bstract In this article, we consider a Renormalization Group flow of the Thermofield-Double state in UV-complete description Holography, by introducing relevant deformation to $$ \mathcal{N} N = 4 super Yang-Mills theory at strong coupling. This RG-flow is known have non-trivial, interacting 1 fixed point IR. Geometrically, an TFD-state naturally continues radially and inside black hole event horizon yields Kasner-structure near singularity, as has been observed recent works. We show that for generic value deformation, putative IR remains certain sense. By fine-tuning “fixed point” can be brought arbitrarily close horizon, while always remaining inside. Physically, distinguishes between vanishing temperature limit RG-flows with one exactly zero temperature. further discuss its general implications context including study recently-proposed Holographic -function, especially interior hole. also how correlations two-copies depend on explicit RG-flow.