Circular strings in Kerr-$$AdS_{5}$$ black holes

Abstract

The quest for extension of holographic correspondence to the case of finite temperature naturally includes Kerr–AdS black holes and their field theory duals. We probe the five-dimensional Kerr–AdS space time by pulsating strings. First we find particular pulsating string solutions and then semi-classically quantize the theory. For the string with large values of energy, we use the Bohr–Sommerfeld analysis to find the energy of the string as a function of a large quantum number. From the dual theory viewpoint, the constraint for the string energy can be considered as the dispersion relation of stationary thermal states. We obtain the wave function of the problem and thoroughly study the corrections to the energy, which according to the holographic dictionary are related to anomalous dimensions of certain operators in the dual gauge theory.