2019/02/28 by Mario Flory
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Class (philosophy) #Conformal map #Cosmology and Gravitation Theories #Dual polyhedron #Infinitesimal #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Null (SQL) #Physics #Piecewise #Pure mathematics #Quantum mechanics #Sigma #Transformation (genetics) #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep05(2019)086
published as JHEP 1905 (2019) 086 · 31 pages + appendices, 9 figures v2: minor improvements, matches published version
openalex publication_date 2019/05/01 · arxiv created 2019/06/08 · arxiv updated 2019/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract We study the null-boundaries of Wheeler-de Witt (WdW) patches in three dimensional Poincaré-AdS, when the selected boundary timeslice is an arbitrary (non-constant) function, presenting some useful analytic statements about them. Special attention will be given to the piecewise smooth nature of the null-boundaries, due to the emergence of caustics and null-null joint curves. This is then applied, in the spirit of one of our previous papers, to the problem of how the complexity of the CFT 2 groundstate changes under a small local conformal transformation according to the action (CA) proposal. In stark contrast to the volume (CV) proposal, where this change is only proportional to the second order in the infinitesimal expansion parameter σ , we show that in the CA case we obtain terms of order σ and even σ log( σ ). This has strong implications for the possible field-theory duals of the CA proposal, ruling out an entire class of them.