English

The Minkowski and conformal superspaces

Rings and Algebras 2008-11-26 v2 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

We define complex Minkowski superspace in 4 dimensions as the big cell inside a complex flag supermanifold. The complex conformal supergroup acts naturally on this super flag, 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.

Keywords

Cite

@article{arxiv.math/0609813,
  title  = {The Minkowski and conformal superspaces},
  author = {R. Fioresi and M. A. Lledo and V. S. Varadarajan},
  journal= {arXiv preprint arXiv:math/0609813},
  year   = {2008}
}

Comments

AMS LaTeX, 44 pages