On the Pulsating Strings in Sasaki-Einstein Spaces

We study the class of pulsating strings in AdS5xYp,q and AdS5xLp,q,r. Using a generalized ansatz for pulsating string configurations, we find new solutions for this class in terms of Heun functions, and derive the particular case of AdS5xT1,1, which was analyzed in arXiv:1006.1539 [hep-th]. Unfortunately, Heun functions are still little studied, and we are not able to quantize the theory quasi-classically and obtain the first corrections to the energy. The latter, due to AdS/CFT correspondence, is supposed to give the anomalous dimensions of operators of the gauge theory dual N = 1 superconformal field theory.