Superconformal Structures and the Superparticle on the Complex Projective Line
Mathematical Physics
2015-07-29 v1 math.MP
Abstract
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.
Cite
@article{arxiv.1507.07681,
title = {Superconformal Structures and the Superparticle on the Complex Projective Line},
author = {Kowshik Bettadapura},
journal= {arXiv preprint arXiv:1507.07681},
year = {2015}
}
Comments
18 pages