Generalized Chern-Simons Form and Descent Equation

Details Generalized Chern-Simons Form and Descent Equation Generalized Chern-Simons Form and Descent Equation

1999-08-11

arxiv.org/abs/hep-th/9908083v1

J.Math.Phys.41:5238-5244,2000

Physics

High Energy Physics

High Energy Physics - Theory

7 pages

Scientific paper

10.1063/1.533404

We present the general method to introduce the generalized Chern-Simons form and the descent equation which contain the scalar field in addition to the gauge fields. It is based on the technique in a noncommutative differential geometry (NCG) which extends the $N$-dimensional Minkowski space $M_N$ to the discrete space such as $M_N\times Z_2$ with two point space $Z_2$. However, the resultant equations do not depend on NCG but are justified by the algebraic rules in the ordinary differential geometry.

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