We discuss the relation between pluriharmonic maps and solutionsof the tt*-equations. The correspondence is obtained without assuming theintegrability of the almost complex structure of the base manifold. We presentexamples which stem from special K ̈ahler and nearly K ̈ahler geometry. Thispaper is based on a lecture given by the first author on the Workshop ‘FromtQFT to tt* and integrability’ (Augsburg, 2007).
We discuss the relation between pluriharmonic maps and solutionsof the tt*-equations. The correspondence is obtained without assuming theintegrability of the almost complex structure of the base manifold. We presentexamples which stem from special K ̈ahler and nearly K ̈ahler geometry. Thispaper is based on a lecture given by the first author on the Workshop ‘FromtQFT to tt* and integrability’ (Augsburg, 2007).