A New Infinite Class of Supersymmetric AdS3 Solutions

Explict examples of the AdS/CFT correspondence, where detailed calculations can be performed, are very useful in developing our understanding of the correspondence. A good example is the discovery of an infinite class of Sasaki-Einstein manifolds in [1, 2], each of which gives rise to a supersymmetric solution of type IIB string theory with an AdS5 factor. This discovery combined with the subsequent discovery of the corresponding N=1 super conformal field theories [3, 4] has led to much follow up work. This work is also of interest to geometers, since the Y p,q metrics provided the first explicit examples of non-homogeneous Sasaki-Einstein metrics and the very first in the so-called irregular class.