ICTS

The holographic duality, a.k.a. the AdS/CFT correspondence, has been studied vigorously to understand gravity. One simple and concrete example is the large N vector model of which singlet sector is dual to higher spin gravitational theories in Anti de Sitter space. Furthermore, quantum mechanical models of matrices have played an important role in duality of the 2D string theory as well as the description of the D0-branes in string theory. Recently, (0+1)-dimensional tensor models have been in the spotlight due to the maximal chaos together with its rich properties. In this seminar, I shall review the essence of large N vector, matrix and tensor models focusing on the combinatorial properties.