Introduction to the AdS/CFT correspondence

Abstract

This is a pedagogical introduction to the AdS/CFT correspondence, based on lectures delivered by the author at the third IDPASC school. Starting with the conceptual basis of the holographic dualities, the subject is developed emphasizing some concrete topics, which are discussed in detail. A very brief introduction to string theory is provided, containing the minimal ingredients to understand the origin of the AdS/CFT duality. Other topics covered are the holographic calculation of correlation functions, quark-antiquark potentials and transport coefficients.

64 pages, 12 figures;v2: minor improvements;v3: references added

References in corpus (3)

• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• String Theory and Quantum Chromodynamics
• The string/gauge theory correspondence in QCD

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• On the foundations of quantum theory
• Introduction to Gauge/Gravity Duality (TASI Lectures 2017)
• Equivariant Fields in an $SU(\mathcal{N})$ Gauge Theory with new Spontaneously Generated Fuzzy Extra Dimensions
• The Firewall Paradox
• Magnetic Critical Solutions in Holography
• Renormalization Group Flows in Non-Relativistic Holographic Effective Field Theories