Introduction to the AdS/CFT Correspondence

This is a pedagogical introduction to the AdS/CFT correspondence. 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.