U-branes and T3 fibrations Original Research Article

We describe eight-dimensional vacuum configurations with varying moduli consistent with the U-duality group SL(2,Z) × SL(3,Z). Focusing on the latter less-well understood SL(3,Z) properties, we construct a class of fivebrane solutions living on lines on a three-dimensional base space. The resulting U-manifolds, with five scalars transforming under SL(3), admit a Ricci-flat Kähler metric. Based on the connection with special Lagrangian T3 fibered Calabi-Yau three-folds, this construction provides a simple framework for the investigation of Calabi-Yau mirrors.