Pseudoduality and Complex Geometry in Sigma Models

Details Pseudoduality and Complex Geometry in Sigma Models Pseudoduality and Complex Geometry in Sigma Models

2010-12-28

arxiv.org/abs/1012.5734v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

We study the pseudoduality transformations in two dimensional N = (2, 2) sigma models on Kahler 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.

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