Matrix Theory Compactification on Noncommutative T

In this paper, we construct gauge bundles on a noncommutative toroidal orbifold Tθ/Z2. First, we explicitly construct a bundle with constant curvature connections on a noncommutative Tθ following Rieffel’s method. Then, applying the appropriate quotient conditions for its Z2 orbifold, we find a Connes-Douglas-Schwarz type solution of matrix theory compactified on Tθ/Z2. When we consider two copies of a bundle on T 4 θ which admits a constant curvature connection, the resulting Higgs branch moduli space of equivariant constant curvature connections becomes an ordinary toroidal orbifold T/Z2. [email protected] [email protected] [email protected]