2015/07/28 by Kowshik Bettadapura, Bettadapura, Kowshik
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1507.07681
18 pages
arxiv created 2015/07/28 · openalex publication_date 2015/07/28 · arxiv updated 2015/07/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper the notion of a superconformal structure on a supermanifold is introduced in an effort to study the superparticle sigma-model. There are, in particular, two main aspects of the sigma-model which are investigated. The first is on the relationship between the superparticle Lagrangian and the component Lagrangian; and the second is on the problem of integrating infinitesimal variations to globally-defined variations of the component Lagrangian, which leads naturally to a notion of consistency. Throughout this paper illustrations are provided on the complex projective line.