Pseudoduality and Complex Geometry in Sigma Models
arXiv:1012.5734 · doi:10.1142/S0219887813500345
Abstract
We study the pseudoduality transformations in two dimensional N = (2, 2) sigma models on Kähler manifolds. We show that structures on the target space can be transformed into the pseudodual manifolds by means of (anti)holomorphic preserving mapping. This map requires that torsions related to individual spaces and riemann connection on pseudodual manifold must vanish. We also consider holomorphic isometries which puts additional constraints on the pseudoduality.
12 pages; typos corrected; To appear in Int. J. Geom. Meth. Mod. Phys