Yano F structures and extended Supersymmetry in a BiLP

TL;DR

This paper explores a sigma model with (4, 4) twisted chiral multiplets, revealing two geometric descriptions including a novel Yano F-structure framework, enhancing understanding of semichiral models and complex linear structures.

Contribution

It introduces a new geometric perspective involving Yano F-structures on a doubled tangent space for the sigma model.

Findings

Identifies bi-quaternionic geometry on the tangent space.

Proposes a new geometry with Yano F-structures.

Provides insights into semichiral models and complex linear structures.

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.