The Geometry of N=1 and N=2 Real Supersymmetric Non-Linear Sigma-Models in the Atiyah-Ward Space-Time

1998/11/11 by M. Carvalho, Marcelo Carvalho, J. A. Helayël-Neto +5
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Non-Hermitian Physics #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9811103

12 pages, no figures

arxiv created 1998/11/11 · openalex publication_date 1998/11/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyse the structure of N=1 and N=2 supersymmetric non-linear sigma-models built up with a pair of real superfields defined in the superspace of Atiyah-Ward space-time. The geometry arising has new features such as the existence of a locally product structure (N=1 case) and a set of automorphisms of the tangent space that is isomorphic to the split-quaternionic algebra (N=2 case).

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