Conceptual Aspects of Gauge/Gravity Duality

2015/09/30 by Sebastian De Haro, Daniel R. Mayerson, Jeremy Butterfield +1 · 1 citation
Mathematics · Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Cosmology and Gravitation Theories #Duality (order theory) #Gauge theory #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum #Quantum gravity #Quantum mechanics #Spacetime #String theory #Theoretical physics #hep-th #physics.hist-ph

paper · pdf · doi:10.1007/s10701-016-0037-4

published as Foundations of Physics (2016), 46 (11), pp. 1381-1425 · 49 pages, invited review for Foundations of Physics

arxiv created 2016/07/13 · openalex publication_date 2016/07/15 · arxiv updated 2017/09/20 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05

Abstract

We give an introductory review of gauge/gravity duality, and associated ideas of holography, emphasising the conceptual aspects. The opening sections gather the ingredients, viz. anti-de Sitter spacetime, conformal field theory and string theory, that we need for presenting, in Sect. 5 , the central and original example: Maldacena’s AdS/CFT correspondence. Sections 6 and 7 develop the ideas of this example, also in applications to condensed matter systems, QCD, and hydrodynamics. Sections 8 and 9 discuss the possible extensions of holographic ideas to de Sitter spacetime and to black holes. Section 10 discusses the bearing of gauge/gravity duality on two philosophical topics: the equivalence of physical theories, and the idea that spacetime, or some features of it, are emergent.

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Cited by

• The Empirical Under-Determination Argument Against Scientific Realism for Dual Theories