2018/06/30 by Mario Flory, Nina Miekley · 63 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algorithm #Black Holes and Theoretical Physics #Computation #Computer science #Conformal field theory #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Field (mathematics) #Holography #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Primary field #Pure mathematics #Quantum mechanics #Theoretical physics #Transformation (genetics) #Weyl transformation #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep05(2019)003
published in Journal of High Energy Physics 2019(5) (Springer Nature) · v2: 23 pages, 5 figures, added references and one entirely new section about a comparison to a field theory proposal v3: 27 pages, 5 figures, 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 Using the volume proposal, we compute the change of complexity of holographic states caused by a small conformal transformation in AdS 3 /CF T 2 . This computation is done perturbatively to second order. We give a general result and discuss some of its properties. As operators generating such conformal transformations can be explicitly constructed in CFT terms, these results allow for a comparison between holographic methods of defining and computing computational complexity and purely field-theoretic proposals. A comparison of our results to one such proposal is given.