The manifest covariant soliton solutions on noncommutative orbifold $T^2/Z_6$ and $T^2/Z_3$

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 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.

33 pages, no figures