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The manifest covariant soliton solutions on noncommutative orbifold $T^{2}/Z_{6}$ and $T^{2}/Z_{3}$

Hui Deng·Bo-Yu Hou·Kang-Jie Shi·Zhan-Ying Yang·Rui-Hong Yue
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Abstract

In this paper, we construct a closed form of projectors on the integral noncommutative orbifold $T^2/Z_6$ in terms of elliptic functions by $GHS$ construction. After that, we give a general solution of projectors on $% T^{2}/Z_{6}$ and $T^{2}/Z_{3}$ with minimal trace and continuous reduced matrix $M(k,q_{0})$.The projectors constructed by us possess symmetry and manifest covariant forms under $Z_{6}$ rotation. Since projectors correspond to the soliton solutions of field theory on the noncommutative orbifold, we thus present a series of corresponding manifest covariant soliton solutions.

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Hui Deng, Bo-Yu Hou, Kang-Jie Shi, Zhan-Ying Yang, Rui-Hong Yue. 2004-03-09. The manifest covariant soliton solutions on noncommutative orbifold $T^{2}/Z_{6}$ and $T^{2}/Z_{3}$. https://arxiv.org/abs/hep-th/0403102

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