Holographic A-Functions and Boomerang RG Flows
The Journal of high energy physics/The journal of high energy physics(2024)
摘要
We use the radial null energy condition to construct a monotonic a-function for a certain type of non-relativistic holographic RG flows. We test our a-function in three different geometries that feature a Boomerang RG flow, characterized by a domain wall between two AdS spaces with the same AdS radius, but with different (and sometimes direction-dependent) speeds of light. We find that the a-function monotonically decreases and goes to a constant in the asymptotic regimes of the geometry. Using the holographic dictionary in this asymptotic AdS spaces, we find that the a-function not only reads the fixed point central charge but also the speed of light, suggesting what the correct RG charge might be for non-relativistic RG flows.
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关键词
Holography and Condensed Matter Physics (AdS/CMT),Renormalization Group
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