2006/09/30 by R. Fioresi, M. A. Lledó, M. A. Lledo +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Compactification (mathematics) #Conformal field theory #Conformal map #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Lie group #Minkowski space #Minkowski's theorem #Supergroup #Superspace #hep-th #math-ph #math.MP #math.RA
paper · pdf · doi:10.1063/1.2799262
published as J.Math.Phys.48:113505,2007 · AMS LaTeX, 44 pages
arxiv created 2007/06/14 · openalex publication_date 2007/11/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We define complex Minkowski superspace in four dimensions as the big cell inside a complex flag supermanifold. The complex conformal supergroup acts naturally on this superflag, allowing us to interpret it as the conformal compactification of complex Minkowski superspace. We then consider real Minkowski superspace as a suitable real form of the complex version. Our methods are group theoretic, based on the real conformal supergroup and its Lie superalgebra.