The Anti-de Sitter/Conformal Field Theory (AdS/CFT) conjecture is the most successful application of the holographic principle, and it plays a very important role in the study of the non perturbative sector of a class of Yang-Mills theories. It allows to calculate non-perturbative vacuum expectation values of Yang-Mills operators via tree level calculation in the perturbative sector of type IIB string theory on Anti-de Sitter background. In an outstanding application of the AdS/CFT dictionary, Ryu and Takayanagi proposed that the area of a minimal surface in a holographic geometry should be related to the entanglement between the degrees of freedom contained within this region and those of its complement.

Many applications of AdS correspondence and the Ryu-Takayanagi formula have been studied in the last years, including applications in Dissipative Quantum Fields and Condensed Matter Physics. On the other hand, thinking on the string side, the quantization of the string in AdS spaces provides an important example of string quantization in a Ramond-Ramond background and it is interesting by itself. However, despite all the results concerning the superstring in AdS spaces, owing to the complicated structure of the worldsheet action, the quantum properties of the string sigma model still remain elusive.

The aim of this Research Topic is to provide a forum to discuss aspects of superstring propagating in AdS spaces, which includes general applications of the AdS dictionary and the Ryu-Takayanagi formula, as well as theoretical aspects of the AdS superstring sigma model.

Keywords: Superstring, ADS, entropy, sigma model

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