English

Operator ordering in Two-dimensional N=1 supersymmetry with curved manifold

High Energy Physics - Theory 2008-11-26 v1

Abstract

We investigate an operator ordering problem in two-dimensional N=1 supersymmetric model which consists of n real superfields. There arises an operator ordering problem when the target space is curved. We have to fix the ordering in quantum operator properly to obtain the correct supersymmetry algebra. We demonstrate that the super-Poincar\'{e} algebra fixes the correct operator ordering. We obtain a supercurrent with correct operator ordering and a central extension of supersymmetry algebra.

Keywords

Cite

@article{arxiv.0708.2766,
  title  = {Operator ordering in Two-dimensional N=1 supersymmetry with curved manifold},
  author = {Nobuyuki Motoyui and Mitsuru Yamada},
  journal= {arXiv preprint arXiv:0708.2766},
  year   = {2008}
}

Comments

7 pages

R2 v1 2026-06-21T09:09:10.286Z