Operator ordering and Classical soliton path in Two-dimensional N=2 supersymmetry with Kahler potential

Details Operator ordering and Classical soliton path in Two-dimensional N=2 supersymmetry with Kahler potential Operator ordering and Classical soliton path in Two-dimensional N=2 supersymmetry with Kahler potential

2005-08-03

arxiv.org/abs/hep-th/0508021v2

Int.J.Mod.Phys. A21 (2006) 109-120

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, typos corrected

Scientific paper

10.1142/S0217751X06025018

We investigate a 2-dimensional N=2 supersymmetric model which consists of n chiral superfields with Kahler potential. When we define quantum observables, we are always plagued by operator ordering problem. Among various ways to fix the operator order, we rely upon the supersymmetry. We demonstrate that the correct operator order is given by requiring the super Poincare algebra by carrying out the canonical Dirac bracket quantization. This is shown to be also true when the supersymmetry algebra has a central extension by the presence of topological soliton. It is also shown that the path of soliton is a straight line in the complex plane of superpotential W and triangular mass inequality holds. And a half of supersymmetry is broken by the presence of soliton.

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