Hadronic linear potentials in AdS/CFT

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In 1998, J. M. Maldacena conjectured a precise duality in the low-energy (or decoupling) regime between a large N strongly-coupled SU(N) super-Yang-Mills theory defined in the four-dimensional Minkowski world-volume M⁴ of a stack of N coincident D3-branes and the supergravity limit of a weakly-coupled type IIB closed superstring theory on AdS₅*S⁵. This communication aims at introducing concepts and methods used to derive, in the gauge/string correspondence framework, the interaction potentials of mesons and baryons at zero and finite temperature. Especially, emphasize will be made on the linear behavior of the bound-state potentials derived in the gravity side. Although AdS/CFT cannot be applied ab initio to QCD-like gauge theories and remains a controversial topic, at least at zero temperature, we will also discuss AdS/QCD criteria proposed for a holographic description of the mechanism of confinement.