2017/08/31 by Pratim Roy, Tapobrata Sarkar · 23 citations
Mathematics · Physics and Astronomy · #Ansatz #Black Holes and Theoretical Physics #Boundary (topology) #Context (archaeology) #Cosmology and Gravitation Theories #Domain (mathematical analysis) #Field (mathematics) #Geometry and complex manifolds #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pure mathematics #Renormalization #Renormalization group #Statistical physics #hep-th
paper · pdf · doi:10.1103/physrevd.97.086018
published in Physical review. D/Physical review. D. 97(8) (American Physical Society) · 1 + 22 pages, 14 figures, substantially modified draft
arxiv created 2017/11/27 · openalex publication_date 2018/04/30 · arxiv updated 2018/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate subregion holographic complexity in the context of renormalization group flow geometries. We use both the Poincar'e slicing and the Janus ansatz as holographic duals to renormalization group flows in the boundary conformal field theory. In the former metric, subregion complexity is computed for a disc and a strip shaped entangling region. For the disc shaped region, consistent emergence of length scales for flow to the deep infrared is established. In the case of a strip shaped entangling region for both sharp and smooth domain walls, we compute the complexity and contrast its behavior with the holographic entanglement entropy. Finally, the complexity is computed numerically using the Janus ansatz.