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Soliton on Noncommutative Orbifold $ T^2/Z_k $

Hou Bo-yu·Shi Kangjie·Yang Zhan-ying
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Abstract

Following the construction of the projection operators on $T^2$ presented by Gopakumar, Headrick and Spradlin, we construct a set of projection operators on the integral noncommutative orbifold $T^2/G (G=Z_N, N=2, 3, 4, 6)$ which correspond to a set of solitons on $T^2/Z_N$ in noncommutative field theory. In this way, we derive an explicit form of projector on $T^2/Z_6$ as an example. We also construct a complete set of projectors on $T^2/Z_N$ by series expansions for integral case.

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Hou Bo-yu, Shi Kangjie, Yang Zhan-ying. 2003-05-24. Soliton on Noncommutative Orbifold $ T^2/Z_k $. https://doi.org/10.1023/a%3A1021294221710

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