Geometry and Duality in Supersymmetric sigma-Models

TL;DR

This paper explores the geometric and duality properties of supersymmetric sigma-models, introducing a new superspace formulation of the dual sigma model and analyzing its underlying geometry and symmetries.

Contribution

It reconstructs the supersymmetric dual sigma model in superspace and reveals its geometric structure and relation to the original model, highlighting the boson-fermion symphysis.

Findings

Established explicit canonical transformation between models

Reconstructed the dual sigma model in superspace

Identified new geometric features of the dual model

Abstract

The Supersymmetric Dual Sigma Model (SDSM) is a local field theory introduced to be nonlocally equivalent to the Supersymmetric Chiral nonlinear sigma-Model (SCM), this dual equivalence being proven by explicit canonical transformation in tangent space. This model is here reconstructed in superspace and identified as a chiral-entwined supersymmetrization of the Dual Sigma Model (DSM). This analysis sheds light on the Boson-Fermion Symphysis of the dual transition, and on the new geometry of the DSM.