Soliton on Noncommutative Orbifold $T^2/Z_k$

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.

18 pages, no figures,;revised version

References in corpus (5)

• Noncommutative Solitons
• Solitons in Noncommutative Gauge Theory
• On Exact Noncommutative BPS Solitons
• Noncommutative Solitons on Orbifolds
• Compactification of M(atrix) theory on noncommutative toroidal orbifolds

Cited by in corpus (2)

• Theta functions on Noncommutative T^4
• Soliton Solutions on Noncommutative Orbifold $ T^2/Z_4