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Chern-Simons Theory on Supermanifolds

High Energy Physics - Theory 2016-11-03 v1 Mathematical Physics math.MP

Abstract

We consider quantum field theories on supermanifolds using integral forms. The latter are used to define a geometric theory of integration and they are essential for a consistent action principle. The construction relies on Picture Changing Operators, analogous to the one introduced in String Theory. As an application, we construct a geometric action principle for N=1 D=3 super-Chern-Simons theory.

Keywords

Cite

@article{arxiv.1606.06609,
  title  = {Chern-Simons Theory on Supermanifolds},
  author = {Pietro Antonio Grassi and Carlo Maccaferri},
  journal= {arXiv preprint arXiv:1606.06609},
  year   = {2016}
}

Comments

21 pages, 1 table

R2 v1 2026-06-22T14:30:35.981Z