2018/10/31 by Daniel Harlow, Hirosi Ooguri · 232 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal map #Consistency (knowledge bases) #Cosmology and Gravitation Theories #Field (mathematics) #Gauge (firearms) #Gauge theory #Geometry #Holography #Homogeneous space #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Perspective (graphical) #Physics #Pure mathematics #Quantum mechanics #Theoretical physics #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevlett.122.191601
published in Physical Review Letters 122(19), 191601 (American Physical Society) · 5 pages, 2 figures. v2: ads/cft review added, journal version up to formatting
openalex publication_date 2019/05/17 · arxiv created 2019/06/06 · arxiv updated 2019/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this Letter we show that a set of old conjectures about symmetries in quantum gravity hold within the anti-de Sitter/conformal field theory correspondence. These conjectures are that no global symmetries are possible, that internal gauge symmetries must come with dynamical objects that transform in all irreducible representations, and that internal gauge groups must be compact. These conjectures are not obviously true from a bulk perspective, they are nontrivial consequences of the nonperturbative consistency of the correspondence. More details of and background for these arguments are presented in an accompanying paper.