Supersymmetric Sigma Model geometry

2012/07/05 by Ulf Lindström, Lindström, Ulf
Mathematics · Physics and Astronomy · #53Z05 #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #hep-th #math.DG #msc:53Z05

paper · pdf · doi:10.48550/arxiv.1207.1241

42 pages, one figure, based on lectures presented at ESI, Wienna; Odense; UWA, Perth; Corfu

arxiv created 2012/07/05 · openalex publication_date 2012/07/05 · arxiv updated 2012/07/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a review of how sigma models formulated in Superspace have become important tools for understanding geometry. Topics included are: The (hyper)kähler reduction; projective superspace; the generalized Legendre construction; generalized Kähler geometry and constructions of hyperkähler metrics on Hermitean symmetric spaces.

Citations

• Supersymmetry and Supergravity
• The axial vector current in beta decay

Related

• Hyperkähler Metrics from Projective Superspace
• 2d Sigma Models and Geometry
• Generalized complex geometry and supersymmetric non-linear sigma models
• A brief review of supersymmetric non-linear sigma models and generalized complex geometry
• Hyper-Kahler geometries and nonlinear supermultiplets