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arXiv · 1507.07681

Superconformal Structures and the Superparticle on the Complex Projective Line

Kowshik Bettadapura
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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.

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Kowshik Bettadapura. 2015-07-28. Superconformal Structures and the Superparticle on the Complex Projective Line. https://arxiv.org/abs/1507.07681

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