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

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

2007-08-21

arxiv.org/abs/0708.2766v1

Mod.Phys.Lett.A22:1797-1803,2007

Physics

High Energy Physics

High Energy Physics - Theory

7 pages

Scientific paper

10.1142/S0217732307023912

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.

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