Soliton Solutions on Noncommutative Orbifold $ T^2/Z_4

Details Soliton Solutions on Noncommutative Orbifold $ T^2/Z_4 Soliton Solutions on Noncommutative Orbifold $ T^2/Z_4

2003-05-26

arxiv.org/abs/hep-th/0305212v2

J.Math.Phys. 45 (2004) 978-995

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, no figure; referrences added

Scientific paper

10.1063/1.1643193

In this paper, we explicitly construct a series of projectors on integral noncommutative orbifold $T^2/Z_4$ by extended $GHS$ constrution. They include integration of two arbitary functions with $Z_4$ symmetry. Our expressions possess manifest $Z_{4}$ symmetry. It is proved that the expression include all projectors with minimal trace and in their standard expansions, the eigen value functions of coefficient operators are continuous with respect to the arguments $k$ and $q$. Based on the integral expression, we alternately show the derivative expression in terms of the similar kernal to the integral one.Since projectors correspond to soliton solutions of the field theory on the noncommutative orbifold, we thus present a series of corresponding solitons.

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