Yano F structures and extended Supersymmetry in a BiLP

Abstract

In this paper we look at a sigma model based on the (4, 4) twisted chiral multiplet [3]. It admits two geometric descriptions: The ususal bi-quaternionic geometry on the tangent space and a new geometry involving two Yano F-structures on a doubled tangent space. This analysis sheds light on the recent discussion of semichiral models in [1] and on an upcoming discussion of complex linears.