English

One-dimensional structures behind twisted and untwisted superYang-Mills theory

High Energy Physics - Theory 2012-05-01 v2 Mathematical Physics math.MP

Abstract

We give a one-dimensional interpretation of the four-dimensional twisted N=1 superYang-Mills theory on a Kaehler manifold by performing an appropriate dimensional reduction. We prove the existence of a 6-generator superalgebra, which does not possess any invariant Lagrangian but contains two different subalgebras that determine the twisted and untwisted formulations of the N=1 superYang-Mills theory.

Keywords

Cite

@article{arxiv.1010.3004,
  title  = {One-dimensional structures behind twisted and untwisted superYang-Mills theory},
  author = {Laurent Baulieu and Francesco Toppan},
  journal= {arXiv preprint arXiv:1010.3004},
  year   = {2012}
}

Comments

12 pages. Final version to appear in Lett. Math. Phys. with improved notation and misprints corrected

R2 v1 2026-06-21T16:28:41.163Z