Soliton solutions on noncommutative orbifold T2/Z4

Abstract

In this paper, we explicitly construct a series of projectors on integrable noncommutative orbifold T2/Z4 by extended GHS construction. They include integration of two arbitary functions with Z4 symmetry. Our expression possesses manifest Z4 symmetry. It is proven that the expression includes all projectors with minimal trace and in their standard expansions, the eigenvalue 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.