Soliton Solutions on Noncommutative Orbifold $T^{2N}/G$

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dc.creatorDeng, Hui
dc.creatorHou, Bo-Yu
dc.creatorShi, Guo-Fang
dc.creatorShi, Kang-Jie
dc.creatorYue, Rui-Hong
dc.creatorXiong, Hua-Hui
dc.date2004-05-14
dc.date.accessioned2026-07-07T04:16:56Z
dc.date.available2026-07-07T04:16:56Z
dc.descriptionIn this paper, we construct the common eigenstates of "translation" operators $\{U_{s}\}$ and establish the generalized $Kq$ representation on integral noncommutative torus $T^{2N}$. We then study the finite rotation group $G$ in noncommutative space as a mapping in the $Kq$ representation and prove a Blocking Theorem. We finally obtain the complete set of projection operators on the integral noncommutative orbifold $T^{2N}/G$ in terms of the generalized $Kq$ representation. Since projectors are soliton solutions on noncommutative space in the limit $α^{\prime}B_{ij}\to \infty (Θ_{ij}/α^{\prime}\to 0)$, we thus obtain all soliton solutions on that orbifold $T^{2N}/G$.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0405130
dc.identifierhttp://arxiv.org/abs/hep-th/0405130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/52560
dc.subjectHigh Energy Physics - Theory
dc.titleSoliton Solutions on Noncommutative Orbifold $T^{2N}/G$
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