Conceptual Aspects of Gauge/Gravity Duality

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Foundations of Physics, ISSN: 0015-9018, Vol: 46, Issue: 11, Page: 1381-1425

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Sebastian De Haro, Daniel R. Mayerson, Jeremy N. Butterfield
Springer Nature, Springer
Physics and Astronomy
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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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